LCM for 60 and 240

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 240?

Answer

LCM of 60 and 240 is 240

(Two hundred forty)

Finding LCM for 60 and 240 using GCF of these numbers

The first method to find LCM for numbers 60 and 240 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 240 is 60, so

LCM = (60 × 240) ÷ 60

LCM = 14400 ÷ 60

LCM = 240

Finding LCM for 60 and 240 by Listing Multiples

The second method to find LCM for numbers 60 and 240 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 60: 60, 120, 180, 240, 300, 360

Multiples of 240: 240, 480, 720

So the LCM for 60 and 240 is 240

Finding LCM for 60 and 240 by Prime Factorization

Another method to find LCM for numbers 60 and 240 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

All Prime Factors of 240: 2, 2, 2, 2, 3, 5 (exponent form: 24, 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 60 and 240? (The answer is: 240). Select the first number (e.g. '60') and the second number (e.g. '240'). 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
45240720
462405520
4724011280
48240240
4924011760
502401200
512404080
522403120
5324012720
542402160
552402640
562401680
572404560
582406960
5924014160
60240240
6124014640
622407440
632405040
64240960
652403120
662402640
6724016080
682404080
692405520
702401680
7124017040
72240720
7324017520
742408880

FAQ

What's the Least Common Multiple (LCM) of 60 and 240?

LCM of 60 and 240 is 240

How to find the LCM of 60 and 240 using prime factorization?

To find the LCM of 60 and 240, 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 60 and 240: LCM = 240, GCF = 60.

See Also