Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    LCM for 48 and 120

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 48 and 120?

    Answer

    LCM of 48 and 120 is
    240

    (Two hundred forty)

    Finding LCM for 48 and 120 using GCF of these numbers

    The first method to find LCM for numbers 48 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 48 and 120 is 24, so

    LCM = (48 × 120) ÷ 24

    LCM = 5760 ÷ 24

    LCM = 240

    Finding LCM for 48 and 120 by Listing Multiples

    The second method to find LCM for numbers 48 and 120 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 48: 48, 96, 144, 192, 240, 288, 336

    Multiples of 120: 120, 240, 360, 480

    So the LCM for 48 and 120 is 240

    Finding LCM for 48 and 120 by Prime Factorization

    Another method to find LCM for numbers 48 and 120 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)

    All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

    24 × 31 × 51 = 240

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/least-common-multiple-lcm-of/48--120Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of/48--120">What is the LCM of 48 and 120? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the LCM of 48 and 120?. The LCM of 48 and 120 is 240 — the smallest common multiple of both integers.
    https://calculat.io/en/number/least-common-multiple-lcm-of/48--120/generated.jpgCopy

    LCM Table

    Number 1Number 2LCM
    481051680
    481062544
    481075136
    48108432
    481095232
    481102640
    481111776
    48112336
    481135424
    48114912
    481155520
    481161392
    481171872
    481182832
    481195712
    48120240
    481215808
    481222928
    481231968
    481241488
    481256000
    481261008
    481276096
    48128384
    481292064
    481303120
    481316288
    48132528
    481336384
    481343216

    About "Least Common Multiple" Calculator

    This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 48 and 120? (The answer is: 240). Select the first number (e.g. '48') and the second number (e.g. '120'). After that hit the 'Calculate' button.
    Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    FAQ

    What's the Least Common Multiple (LCM) of 48 and 120?

    LCM of 48 and 120 is 240

    How to find the LCM of 48 and 120 using prime factorization?

    To find the LCM of 48 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 240.

    What is the difference between LCM and GCF?

    LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 48 and 120: LCM = 240, GCF = 24.

    See Also