Least Common Multiple of 564, 892, 874

Q: How to Find the LCM of 564, 892, 874 ?

Least Common Multiple of 564, 892, 874 = 54962364 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(564, 892, 874) = 2 x 2 x 3 x 19 x 23 x 47 x 223 = 54962364.

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 564, 892, 874 i.e. 54962364 smallest integer divisible by all numbers.

Least common multiple (LCM) of 564, 892, 874 is 54962364.

LCM(564, 892, 874) = 54962364

LCM of 564, 892, 874

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

Least Common Multiple of 564, 892, 874 by common division method
Least Common Multiple of 564, 892, 874 with GCF Formula

Least Common Multiple of 564,892,874

Least Common Multiple (LCM) of 564,892,874 is 54962364

2	564, 892, 874
2	282, 446, 437
	141, 223, 437

∴ So the LCM of the given numbers is 2 x 2 x 141 x 223 x 437 = 54962364

Least Common Multiple of 564,892,874 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 564,892,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,892,874) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(564,892,874) x common factors =2 x 4 = 8

LCM(564,892,874) = ( 564 × 892 × 874 ) / 8

LCM(564,892,874) = 439698912 / 8

LCM(564,892,874) = 54962364

∴ Least Common Multiple of 564,892,874 is 54962364

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 564, 892, 874

1. What is the LCM of 564, 892, 874?

Answer: LCM of 564, 892, 874 is 54962364.

2. What are the Factors of 54962364?

Answer: Factors of 54962364 are . There are integers that are factors of 54962364

3. How to Find the LCM of 564, 892, 874 ?

Least Common Multiple of 564, 892, 874.

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(564, 892, 874) = 2 x 2 x 3 x 19 x 23 x 47 x 223 = 54962364.