LCM for 150 and 600

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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 = 90,000 ÷ 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, 1,200, 1,800

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

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
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LCM Table

Number 1Number 2LCM
1505855,850
15058643,950
15058788,050
15058814,700
15058988,350
1505908,850
15059129,550
15059244,400
15059388,950
15059414,850
15059517,850
15059644,700
15059729,850
15059844,850
15059989,850
150600600
15060190,150
15060245,150
15060330,150
15060445,300
15060518,150
15060615,150
15060791,050
15060845,600
15060930,450
1506109,150
15061191,650
15061215,300
15061391,950
15061446,050

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.