if 19 and 1140 are the respective hcf and lcm of two numbers, which are greater than 19 then what will be the possible number of such pair?

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If 19 and 1140 are the respective HCF and LCM of two numbers which are greater than 19 then what

IBM Numerical Ability Question Solution - If 19 and 1140 are the respective HCF and LCM of two numbers, which are greater than 19 then what will be the possible number of such pair?

Latest IBM Aptitude Question SOLUTION: If 19 and 1140 are the respective HCF and LCM of two numbers, which are greater than 19 then what will be the possible number of such pair?

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If 19 and 1140 are the respective HCF and LCM of two numbers, which are greater than 19 then what will be the possible number of such pair?

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If 19 and 1140 are the respective HCF and LCM of two numbers, which are greater than 19, then what will be the possible number of such pair?

Answer (1 of 3): If 19 and 1140 are the respective HCF and LCM of two numbers, which are greater than 19, then what will be the possible number of such pair? Let the numbers be 19a and 19b, such that a and b are relatively prime integers. The LCM of 19a and 19b is 19ab, which has been given to ...

If 19 and 1140 are the respective HCF and LCM of two numbers, which are greater than 19, then what will be the possible number of such pair?

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Sort Anil Bapat

Lives in Mumbai, Maharashtra, IndiaAuthor has 2.1K answers and 2.4M answer views2y

If 19 and 1140 are the respective HCF and LCM of two numbers, which are greater than 19, then what will be the possible number of such pair?

Let the numbers be 19a and 19b, such that a and b are relatively prime integers.

The LCM of 19a and 19b is 19ab, which has been given to be 1140. Therefore, we have

19ab = 1140, so ab = 1140 / 19 = 60

Now, we require 2 integers such that their product is 60 and they have to be relatively prime.

Let’s find all the pairs and then select those pairs such that the integers involved are relatively prime to each other.

1, 60 Relatively Prime

2, 30 2 is the Common Facto

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The HCF and LCM of two numbers are 18 and 378 respectively. If one of the number is 54, then the other number is?

The HCF and LCM of two numbers are 12 and 462 respectively. What is the number of such pair?

Blazing Warlord

Python Intermediate ProgrammerAuthor has 185 answers and 77.3K answer views2y

HCF x LCM = a x b

So HCF x LCM = 21660

a x b = 21660

Any two numbers greater than 19 whose product is 21600 satisfies the question.

Thanos Papangelis

CEO & Co-founder at Epignosis eLearning Solutions (2005–present)Updated 1y

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Nisha

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Ans. Product of HCF and LCM = product of the numbers

Then, product of the numbers = 19 x 1140

Let 19a and 19b be the numbers.

19a x 19b = 19 x 1140

ab = 19 x 1140 / 19 x 19 = 60

If ab = 60 then (a,b) = (1,60), (2,30), (3,20), (4,15), (5,12) and (6,10).

Since a and b are co-primes then (a,b) = (1,60), (4,15) and (5,12)

Hence the number of such pairs = 3a

Yogesh Chandna Dr

Ph.D in Computer Science Engineering & Vedic Mathematics, SES College of Engineering (Graduated 1997)Author has 345 answers and 610.6K answer views1y

Related

The HCF of two numbers is 6 and their LCM is 108. If one of the numbers is 12, then what is the other?

HCF : 6 LCM :108

Let the numbers be 12 & x

We know Product of Numbers = LCM * HCF

so 12x= 108*6 so x= 54

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The LCM of two prime numbers is 70. These numbers must be greater than 10. What are the two numbers?

[math]70 = 2*5*7[/math], which means that the only prime factors 70 has is 2, 5, and 7. If 70 is a multiple of a number, the number has to be a factor of 70. However, there are no prime factors of 70 over 10, which means there are no such pairs of numbers that fulfill the requirement.

The only pairs of primes that have 70 as a common multiple (not even lowest common multiple) are 2 & 5, 2 & 7, 5 & 7. None of those pairs are greater than 10, so no answers exist.

I hope that helps your understanding!

Manan Arora Studied Tourism3y Related

The L.C.M. of two numbers is 12 times their H.C.F. The sum of the H.C.F. and L.C.M. is 403. If one the number is 93, then the other number is:?

If the lcm is 12 time the hcf

Lcm=12*hcf Lcm+hcf= 403 12*hcf +hcf=403 On solving hcf=31 Means lcm=372

Now lcm*hcf=product of the no.

Let the no. To be found is x

Means 372*31=93*x On solving for x We get x=124

So the other no. Is 124

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स्रोत : brainly.in