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LCM for 60 and 400

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 400?

Answer

LCM of 60 and 400 is 1,200

(One thousand, two hundred)

Finding LCM for 60 and 400 using GCF of these numbers

The first method to find LCM for numbers 60 and 400 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 400 is 20, so

LCM = (60 × 400) ÷ 20

LCM = 24000 ÷ 20

LCM = 1200

Finding LCM for 60 and 400 by Listing Multiples

The second method to find LCM for numbers 60 and 400 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, 1020, 1080, 1140, 1200, 1260, 1320

Multiples of 400: 400, 800, 1200, 1600, 2000

So the LCM for 60 and 400 is 1200

Finding LCM for 60 and 400 by Prime Factorization

Another method to find LCM for numbers 60 and 400 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 400: 2, 2, 2, 2, 5, 5 (exponent form: 24, 52)

24 × 31 × 52 = 1200

Related Calculations

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What is the LCM of 60 and 400?. Find the LCM of 60 and 400 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
454003600
464009200
4740018800
484001200
4940019600
50400400
5140020400
524005200
5340021200
5440010800
554004400
564002800
5740022800
5840011600
5940023600
604001200
6140024400
6240012400
6340025200
644001600
654005200
6640013200
6740026800
684006800
6940027600
704002800
7140028400
724003600
7340029200
7440014800

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 400? (The answer is: 1200). Select the first number (e.g. '60') and the second number (e.g. '400'). 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 60 and 400?

LCM of 60 and 400 is 1,200

How to find the LCM of 60 and 400 using prime factorization?

To find the LCM of 60 and 400, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,200.

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 400: LCM = 1,200, GCF = 20.

See Also