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

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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

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

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