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    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?

    स्रोत : byjus.com

    [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

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    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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    स्रोत : testbook.com

    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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