Least Common Multiple of 154, 729, 105, 432, 142

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 154, 729, 105, 432, 142 i.e. 318835440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 154, 729, 105, 432, 142 is 318835440.

LCM(154, 729, 105, 432, 142) = 318835440

LCM of 154, 729, 105, 432, 142

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

LCM of:

Least Common Multiple of 154,729,105,432,142

Least Common Multiple (LCM) of 154,729,105,432,142 is 318835440

2 154, 729, 105, 432, 142
3 77, 729, 105, 216, 71
3 77, 243, 35, 72, 71
3 77, 81, 35, 24, 71
7 77, 27, 35, 8, 71
11, 27, 5, 8, 71

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 7 x 11 x 27 x 5 x 8 x 71 = 318835440

Least Common Multiple of 154,729,105,432,142 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 154,729,105,432,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,729,105,432,142) = 1

common factors(in case of two or more numbers have common factors) = 2268

GCF(154,729,105,432,142) x common factors =1 x 2268 = 2268

LCM(154,729,105,432,142) = ( 154 × 729 × 105 × 432 × 142 ) / 2268

LCM(154,729,105,432,142) = 723118777920 / 2268

LCM(154,729,105,432,142) = 318835440

∴ Least Common Multiple of 154,729,105,432,142 is 318835440

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 154, 729, 105, 432, 142

1. What is the LCM of 154, 729, 105, 432, 142?

Answer: LCM of 154, 729, 105, 432, 142 is 318835440.

2. What are the Factors of 318835440?

Answer: Factors of 318835440 are . There are integers that are factors of 318835440

3. How to Find the LCM of 154, 729, 105, 432, 142 ?

Least Common Multiple of 154, 729, 105, 432, 142.

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(154, 729, 105, 432, 142) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 11 x 71 = 318835440.