Least Common Multiple of 381, 149, 536

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 381, 149, 536 i.e. 30428184 smallest integer divisible by all numbers.

Least common multiple (LCM) of 381, 149, 536 is 30428184.

LCM(381, 149, 536) = 30428184

LCM of 381, 149, 536

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

LCM of:

Least Common Multiple of 381,149,536

Least Common Multiple (LCM) of 381,149,536 is 30428184

Given numbers has no common factors except 1. So, there LCM is their product i.e 30428184

Least Common Multiple of 381,149,536 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 381,149,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,149,536) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(381,149,536) x common factors =1 x 1 = 1

LCM(381,149,536) = ( 381 × 149 × 536 ) / 1

LCM(381,149,536) = 30428184 / 1

LCM(381,149,536) = 30428184

∴ Least Common Multiple of 381,149,536 is 30428184

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 381, 149, 536

1. What is the LCM of 381, 149, 536?

Answer: LCM of 381, 149, 536 is 30428184.

2. What are the Factors of 30428184?

Answer: Factors of 30428184 are . There are integers that are factors of 30428184

3. How to Find the LCM of 381, 149, 536 ?

Least Common Multiple of 381, 149, 536.

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(381, 149, 536) = 2 x 2 x 2 x 3 x 67 x 127 x 149 = 30428184.