hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    The LCM of 42, 36, 312 and 126 is:
    Question

    The LCM of 42, 36, 312 and 126 is:

    A.

    6587

    B.

    6616

    C.

    6520

    D.

    6552

    Correct option is D

    Formula Used:
    LCM = The smallest number that is a multiple of all given numbers.
    Solution:
    Prime factorization of 42 = 2 × 3 × 7
    Prime factorization of 36 = 22×322^2 × 3^2​​
    Prime factorization of 312 = 232^3​ × 3 × 13
    Prime factorization of 126 = 2 × 323^2​ × 7
     LCM = 23×322^3 × 3^2​ × 7 × 13  = 8 × 9 × 7 × 13 = 6552


    Free Tests

    Free
    Must Attempt

    SSC GD PYP (Held on 4 Feb 2025 S1)

    languageIcon English
    • pdpQsnIcon80 Questions
    • pdpsheetsIcon160 Marks
    • timerIcon60 Mins
    languageIcon English
    Free
    Must Attempt

    Hindi Section Test 1

    languageIcon English
    • pdpQsnIcon20 Questions
    • pdpsheetsIcon40 Marks
    • timerIcon12 Mins
    languageIcon English
    Free
    Must Attempt

    SSC GD Constable Full Mock Test 1

    languageIcon English
    • pdpQsnIcon80 Questions
    • pdpsheetsIcon160 Marks
    • timerIcon60 Mins
    languageIcon English
    test-prime-package

    Access ‘SSC GD’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    368k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow