Least Common Multiple of 129, 468, 908, 414

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 129, 468, 908, 414 i.e. 105067404 smallest integer divisible by all numbers.

Least common multiple (LCM) of 129, 468, 908, 414 is 105067404.

LCM(129, 468, 908, 414) = 105067404

LCM of 129, 468, 908, 414

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

LCM of:

Least Common Multiple of 129,468,908,414

Least Common Multiple (LCM) of 129,468,908,414 is 105067404

2 129, 468, 908, 414
2 129, 234, 454, 207
3 129, 117, 227, 207
3 43, 39, 227, 69
43, 13, 227, 23

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 43 x 13 x 227 x 23 = 105067404

Least Common Multiple of 129,468,908,414 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 129,468,908,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(129,468,908,414) = 1

common factors(in case of two or more numbers have common factors) = 216

GCF(129,468,908,414) x common factors =1 x 216 = 216

LCM(129,468,908,414) = ( 129 × 468 × 908 × 414 ) / 216

LCM(129,468,908,414) = 22694559264 / 216

LCM(129,468,908,414) = 105067404

∴ Least Common Multiple of 129,468,908,414 is 105067404

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 129, 468, 908, 414

1. What is the LCM of 129, 468, 908, 414?

Answer: LCM of 129, 468, 908, 414 is 105067404.

2. What are the Factors of 105067404?

Answer: Factors of 105067404 are . There are integers that are factors of 105067404

3. How to Find the LCM of 129, 468, 908, 414 ?

Least Common Multiple of 129, 468, 908, 414.

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(129, 468, 908, 414) = 2 x 2 x 3 x 3 x 13 x 23 x 43 x 227 = 105067404.