hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    The ratio of two numbers is 5 : 6 and their HCF is 7. Find their LCM.​
    Question

    The ratio of two numbers is 5 : 6 and their HCF is 7. Find their LCM.​

    A.

    35

    B.

    210

    C.

    42

    D.

    84

    Correct option is B

    Given:

    The ratio of two numbers = 5 : 6

    HCF of the two numbers = 7

    Formula Used:

    If numbers are a and b, then

    HCF × LCM = a × b

    Solution:

    Let the two numbers be 5x and 6x

    Since their HCF is 7,
    x = 7

    So, the numbers are:

    5×7=35and6×7=425 \times 7 = 35 \quad \text{and} \quad 6 \times 7 = 42​​

    Now,

    LCM = 35×427 \frac{35 \times 42}{7}​ = 210

    Alternate Solution(Exam-Hall trick):

    Free Tests

    Free
    Must Attempt

    CBT-1 Full Mock Test 1

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    Free
    Must Attempt

    RRB NTPC Graduate Level PYP (Held on 5 Jun 2025 S1)

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    Free
    Must Attempt

    CBT-1 General Awareness Section Test 1

    languageIcon English
    • pdpQsnIcon40 Questions
    • pdpsheetsIcon30 Marks
    • timerIcon25 Mins
    languageIcon English
    test-prime-package

    Access ‘RRB NTPC UG CBT-1’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    353k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow