Least Common Multiple of 876, 102, 116, 506

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 876, 102, 116, 506 i.e. 109262604 smallest integer divisible by all numbers.

Least common multiple (LCM) of 876, 102, 116, 506 is 109262604.

LCM(876, 102, 116, 506) = 109262604

LCM of 876, 102, 116, 506

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

LCM of:

Least Common Multiple of 876,102,116,506

Least Common Multiple (LCM) of 876,102,116,506 is 109262604

2 876, 102, 116, 506
2 438, 51, 58, 253
3 219, 51, 29, 253
73, 17, 29, 253

∴ So the LCM of the given numbers is 2 x 2 x 3 x 73 x 17 x 29 x 253 = 109262604

Least Common Multiple of 876,102,116,506 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 876,102,116,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,102,116,506) = 2

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

GCF(876,102,116,506) x common factors =2 x 24 = 48

LCM(876,102,116,506) = ( 876 × 102 × 116 × 506 ) / 48

LCM(876,102,116,506) = 5244604992 / 48

LCM(876,102,116,506) = 109262604

∴ Least Common Multiple of 876,102,116,506 is 109262604

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 876, 102, 116, 506

1. What is the LCM of 876, 102, 116, 506?

Answer: LCM of 876, 102, 116, 506 is 109262604.

2. What are the Factors of 109262604?

Answer: Factors of 109262604 are . There are integers that are factors of 109262604

3. How to Find the LCM of 876, 102, 116, 506 ?

Least Common Multiple of 876, 102, 116, 506.

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(876, 102, 116, 506) = 2 x 2 x 3 x 11 x 17 x 23 x 29 x 73 = 109262604.