Least Common Multiple of 824, 486, 972

Q: How to Find the LCM of 824, 486, 972 ?

Least Common Multiple of 824, 486, 972 = 200232 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(824, 486, 972) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 103 = 200232.

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 824, 486, 972 i.e. 200232 smallest integer divisible by all numbers.

Least common multiple (LCM) of 824, 486, 972 is 200232.

LCM(824, 486, 972) = 200232

LCM of 824, 486, 972

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

Least Common Multiple of 824, 486, 972 by common division method
Least Common Multiple of 824, 486, 972 with GCF Formula

Least Common Multiple of 824,486,972

Least Common Multiple (LCM) of 824,486,972 is 200232

2	824, 486, 972
2	412, 243, 486
3	206, 243, 243
3	206, 81, 81
3	206, 27, 27
3	206, 9, 9
3	206, 3, 3
	206, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 3 x 3 x 206 x 1 x 1 = 200232

Least Common Multiple of 824,486,972 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 824,486,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,486,972) = 2

common factors(in case of two or more numbers have common factors) = 972

GCF(824,486,972) x common factors =2 x 972 = 1944

LCM(824,486,972) = ( 824 × 486 × 972 ) / 1944

LCM(824,486,972) = 389251008 / 1944

LCM(824,486,972) = 200232

∴ Least Common Multiple of 824,486,972 is 200232

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 824, 486, 972

1. What is the LCM of 824, 486, 972?

Answer: LCM of 824, 486, 972 is 200232.

2. What are the Factors of 200232?

Answer: Factors of 200232 are . There are integers that are factors of 200232

3. How to Find the LCM of 824, 486, 972 ?

Least Common Multiple of 824, 486, 972.

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(824, 486, 972) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 103 = 200232.