Least Common Multiple of 10, 84, 22, 564

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 10, 84, 22, 564 i.e. 217140 smallest integer divisible by all numbers.

Least common multiple (LCM) of 10, 84, 22, 564 is 217140.

LCM(10, 84, 22, 564) = 217140

LCM of 10, 84, 22, 564

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

LCM of:

Least Common Multiple of 10,84,22,564

Least Common Multiple (LCM) of 10,84,22,564 is 217140

2 10, 84, 22, 564
2 5, 42, 11, 282
3 5, 21, 11, 141
5, 7, 11, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 11 x 47 = 217140

Least Common Multiple of 10,84,22,564 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 10,84,22,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,84,22,564) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(10,84,22,564) x common factors =2 x 24 = 48

LCM(10,84,22,564) = ( 10 × 84 × 22 × 564 ) / 48

LCM(10,84,22,564) = 10422720 / 48

LCM(10,84,22,564) = 217140

∴ Least Common Multiple of 10,84,22,564 is 217140

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 10, 84, 22, 564

1. What is the LCM of 10, 84, 22, 564?

Answer: LCM of 10, 84, 22, 564 is 217140.

2. What are the Factors of 217140?

Answer: Factors of 217140 are . There are integers that are factors of 217140

3. How to Find the LCM of 10, 84, 22, 564 ?

Least Common Multiple of 10, 84, 22, 564.

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(10, 84, 22, 564) = 2 x 2 x 3 x 5 x 7 x 11 x 47 = 217140.