Least Common Multiple of 564, 614, 147, 792

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, 614, 147, 792 i.e. 559960632 smallest integer divisible by all numbers.

Least common multiple (LCM) of 564, 614, 147, 792 is 559960632.

LCM(564, 614, 147, 792) = 559960632

LCM of 564, 614, 147, 792

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

LCM of:

Least Common Multiple of 564,614,147,792

Least Common Multiple (LCM) of 564,614,147,792 is 559960632

2 564, 614, 147, 792
2 282, 307, 147, 396
3 141, 307, 147, 198
47, 307, 49, 66

∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 307 x 49 x 66 = 559960632

Least Common Multiple of 564,614,147,792 with GCF Formula

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

We need to calculate greatest common factor of 564,614,147,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,614,147,792) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(564,614,147,792) x common factors =1 x 72 = 72

LCM(564,614,147,792) = ( 564 × 614 × 147 × 792 ) / 72

LCM(564,614,147,792) = 40317165504 / 72

LCM(564,614,147,792) = 559960632

∴ Least Common Multiple of 564,614,147,792 is 559960632

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 564, 614, 147, 792

1. What is the LCM of 564, 614, 147, 792?

Answer: LCM of 564, 614, 147, 792 is 559960632.

2. What are the Factors of 559960632?

Answer: Factors of 559960632 are . There are integers that are factors of 559960632

3. How to Find the LCM of 564, 614, 147, 792 ?

Least Common Multiple of 564, 614, 147, 792.

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, 614, 147, 792) = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 11 x 47 x 307 = 559960632.