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LCM for 150 and 600

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 150 and 600?

Answer

LCM of 150 and 600 is 600

(Six hundred)

Finding LCM for 150 and 600 using GCF of these numbers

The first method to find LCM for numbers 150 and 600 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 150 and 600 is 150, so

LCM = (150 × 600) ÷ 150

LCM = 90000 ÷ 150

LCM = 600

Finding LCM for 150 and 600 by Listing Multiples

The second method to find LCM for numbers 150 and 600 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 150: 150, 300, 450, 600, 750, 900

Multiples of 600: 600, 1200, 1800

So the LCM for 150 and 600 is 600

Finding LCM for 150 and 600 by Prime Factorization

Another method to find LCM for numbers 150 and 600 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 150: 2, 3, 5, 5 (exponent form: 21, 31, 52)

All Prime Factors of 600: 2, 2, 2, 3, 5, 5 (exponent form: 23, 31, 52)

23 × 31 × 52 = 600

See Also

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What is the LCM of 150 and 600?. Find the LCM of 150 and 600 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
1356005400
13660010200
13760082200
13860013800
13960083400
1406004200
14160028200
14260042600
14360085800
1446003600
14560017400
14660043800
14760029400
14860022200
14960089400
150600600
15160090600
15260011400
15360030600
15460046200
15560018600
1566007800
15760094200
15860047400
15960031800
1606002400
16160096600
16260016200
16360097800
16460024600

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 150 and 600? (The answer is: 600). Select the first number (e.g. '150') and the second number (e.g. '600'). 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 150 and 600?

LCM of 150 and 600 is 600

How to find the LCM of 150 and 600 using prime factorization?

To find the LCM of 150 and 600, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 600.

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 150 and 600: LCM = 600, GCF = 150.

See Also