LCM for 60 and 280

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 280?

Answer

LCM of 60 and 280 is 840

(Eight hundred forty)

Finding LCM for 60 and 280 using GCF of these numbers

The first method to find LCM for numbers 60 and 280 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 280 is 20, so

LCM = (60 × 280) ÷ 20

LCM = 16800 ÷ 20

LCM = 840

Finding LCM for 60 and 280 by Listing Multiples

The second method to find LCM for numbers 60 and 280 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, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960

Multiples of 280: 280, 560, 840, 1120, 1400

So the LCM for 60 and 280 is 840

Finding LCM for 60 and 280 by Prime Factorization

Another method to find LCM for numbers 60 and 280 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 280: 2, 2, 2, 5, 7 (exponent form: 23, 51, 71)

23 × 31 × 51 × 71 = 840

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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 280? (The answer is: 840). Select the first number (e.g. '60') and the second number (e.g. '280'). 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
452802520
462806440
4728013160
482801680
492801960
502801400
5128014280
522803640
5328014840
542807560
552803080
56280280
5728015960
582808120
5928016520
60280840
6128017080
622808680
632802520
642802240
652803640
662809240
6728018760
682804760
6928019320
70280280
7128019880
722802520
7328020440
7428010360

FAQ

What's the Least Common Multiple (LCM) of 60 and 280?

LCM of 60 and 280 is 840

How to find the LCM of 60 and 280 using prime factorization?

To find the LCM of 60 and 280, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 840.

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 280: LCM = 840, GCF = 20.

See Also