# the product of two numbers is 1600 and their hcf is 5. the lcm of the numbers is

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## The product of two numbers is 1600 and their HCF is 5. The LCM of the numbers is: a 8000 b 1600 c 320 d 1605

The product of two numbers is 1600 and their HCF is 5. The LCM of the numbers is: a 8000 b 1600 c 320 d 1605

Byju's Answer Standard X Mathematics

Product of Two Numbers = HCF X LCM of the Two Numbers

The product o... Question

The product of two numbers is 1600 and their HCF is 5. The LCM of the numbers is:

(a) 8000 (b) 1600 (c) 320 (d) 1605

Open in App Solution

Let the two numbers be x and y.

It is given that: x × y = 1600 HCF = 5 We know, ⇒ HCF × LCM = x × y 5 × LCM = 1600 ⇒ LCM = 1600 5 = 320 Suggest Corrections 2 SIMILAR QUESTIONS

**Q.**If the sum of LCM and HCF of two numbers is 260 and their LCM is 900 more than their HCF, then the product of two numbers is:

**Q.**If the sum of LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF, then the product of two numbers is

(a) 203400 (b) 194400 (c) 198400 (d) 205400

**Q.**The product of two numbers is 2160 and their LCM is 320. Find their HCF.

**Q.**The product of two numbers is 1600 and their HCF is 5. The LCM of the numbers is

(a) 8000 (b) 1600 (c) 320 (d) 1605

**Q.**The product of two numbers is

8000 and their H C F is 20 . what is the L C M of these numbers?

## [Solved] The product of two numbers is 1600 and their HCF is 5. The L

Given: Product of two numbers = 1600 HCF of two numbers = 5 Formula Used: Product of two numbers = LCM × HCF Calculation: According to the ques

Home Quantitative Aptitude Number System LCM and HCF

## Question

Download Solution PDF

## The product of two numbers is 1600 and their HCF is 5. The LCM of the numbers is:

This question was previously asked in

UPSSSC Lower PCS Prelims Official Paper 2 (Held On : 26 June 2016)

Download PDF Attempt Online

View all UPSSSC Lower PCS Papers >

8000 1600 320 1605

## Answer (Detailed Solution Below)

Option 3 : 320 Crack with

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## Detailed Solution

Download Solution PDF

Given:

Product of two numbers = 1600

HCF of two numbers = 5

Formula Used:

Product of two numbers = LCM × HCF

Calculation:

According to the question,

Product of two numbers = 1600

⇒ LCM × HCF = 1600 ⇒ LCM × 5 = 1600 ⇒ LCM = 1600/5 ⇒ LCM = 320

∴ The LCM of the two numbers is 320.

**Shortcut Trick**

The LCM must be less than the product of two numbers.

Here, only option (3) is less than 1600.

∴ The LCM of the two numbers is 320.

Download Solution PDF

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## The product of two numbers is 1600 and their HCF is 5. Find the lcm of the numbers

We know, Product of two numbers = Product of their LCM and HCF :. 1600 = 5**LCM =>LCM = 160/5 = 320 So, LCM of the given numbers will be 320.

The product of two numbers is 1600 and their HCF is 5. Find the lcm of the numbers

Updated On: 27-06-2022

( 00 : 23 ) ADVERTISEMENT Text Solution Open Answer in App Solution We know,

Product of two numbers = Product of their

LCMandHCF LCMandHCF ∴1600=5∗LCM ∴1600=5∗LCM ⇒LCM= 160 5 =320 ⇒LCM=1605=320 So, LCM LCM

of the given numbers will be

320 320 .

Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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Guys, does anyone know the answer?