Least Common Multiple of 381, 520, 975

Q: How to Find the LCM of 381, 520, 975 ?

Least Common Multiple of 381, 520, 975 = 990600 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(381, 520, 975) = 2 x 2 x 2 x 3 x 5 x 5 x 13 x 127 = 990600.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 381, 520, 975 i.e. 990600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 381, 520, 975 is 990600.

LCM(381, 520, 975) = 990600

LCM of 381, 520, 975

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 381, 520, 975 by common division method
Least Common Multiple of 381, 520, 975 with GCF Formula

Least Common Multiple of 381,520,975

Least Common Multiple (LCM) of 381,520,975 is 990600

3	381, 520, 975
5	127, 520, 325
13	127, 104, 65
	127, 8, 5

∴ So the LCM of the given numbers is 3 x 5 x 13 x 127 x 8 x 5 = 990600

Least Common Multiple of 381,520,975 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 381,520,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,520,975) = 1

common factors(in case of two or more numbers have common factors) = 195

GCF(381,520,975) x common factors =1 x 195 = 195

LCM(381,520,975) = ( 381 × 520 × 975 ) / 195

LCM(381,520,975) = 193167000 / 195

LCM(381,520,975) = 990600

∴ Least Common Multiple of 381,520,975 is 990600

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 381, 520, 975

1. What is the LCM of 381, 520, 975?

Answer: LCM of 381, 520, 975 is 990600.

2. What are the Factors of 990600?

Answer: Factors of 990600 are . There are integers that are factors of 990600

3. How to Find the LCM of 381, 520, 975 ?

Least Common Multiple of 381, 520, 975.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(381, 520, 975) = 2 x 2 x 2 x 3 x 5 x 5 x 13 x 127 = 990600.