Least Common Multiple of 564, 824, 752

Q: How to Find the LCM of 564, 824, 752 ?

Least Common Multiple of 564, 824, 752 = 232368 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, 824, 752) = 2 x 2 x 2 x 2 x 3 x 47 x 103 = 232368.

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, 824, 752 i.e. 232368 smallest integer divisible by all numbers.

Least common multiple (LCM) of 564, 824, 752 is 232368.

LCM(564, 824, 752) = 232368

LCM of 564, 824, 752

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

Least Common Multiple of 564, 824, 752 by common division method
Least Common Multiple of 564, 824, 752 with GCF Formula

Least Common Multiple of 564,824,752

Least Common Multiple (LCM) of 564,824,752 is 232368

2	564, 824, 752
2	282, 412, 376
2	141, 206, 188
47	141, 103, 94
	3, 103, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 47 x 3 x 103 x 2 = 232368

Least Common Multiple of 564,824,752 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 564,824,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,824,752) = 4

common factors(in case of two or more numbers have common factors) = 376

GCF(564,824,752) x common factors =4 x 376 = 1504

LCM(564,824,752) = ( 564 × 824 × 752 ) / 1504

LCM(564,824,752) = 349481472 / 1504

LCM(564,824,752) = 232368

∴ Least Common Multiple of 564,824,752 is 232368

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, 824, 752

1. What is the LCM of 564, 824, 752?

Answer: LCM of 564, 824, 752 is 232368.

2. What are the Factors of 232368?

Answer: Factors of 232368 are . There are integers that are factors of 232368

3. How to Find the LCM of 564, 824, 752 ?

Least Common Multiple of 564, 824, 752.

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, 824, 752) = 2 x 2 x 2 x 2 x 3 x 47 x 103 = 232368.