Least Common Multiple of 30, 27, 47, 378

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 30, 27, 47, 378 i.e. 88830 smallest integer divisible by all numbers.

Least common multiple (LCM) of 30, 27, 47, 378 is 88830.

LCM(30, 27, 47, 378) = 88830

LCM of 30, 27, 47, 378

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

LCM of:

Least Common Multiple of 30,27,47,378

Least Common Multiple (LCM) of 30,27,47,378 is 88830

2 30, 27, 47, 378
3 15, 27, 47, 189
3 5, 9, 47, 63
3 5, 3, 47, 21
5, 1, 47, 7

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 1 x 47 x 7 = 88830

Least Common Multiple of 30,27,47,378 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 30,27,47,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,27,47,378) = 1

common factors(in case of two or more numbers have common factors) = 162

GCF(30,27,47,378) x common factors =1 x 162 = 162

LCM(30,27,47,378) = ( 30 × 27 × 47 × 378 ) / 162

LCM(30,27,47,378) = 14390460 / 162

LCM(30,27,47,378) = 88830

∴ Least Common Multiple of 30,27,47,378 is 88830

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 30, 27, 47, 378

1. What is the LCM of 30, 27, 47, 378?

Answer: LCM of 30, 27, 47, 378 is 88830.

2. What are the Factors of 88830?

Answer: Factors of 88830 are . There are integers that are factors of 88830

3. How to Find the LCM of 30, 27, 47, 378 ?

Least Common Multiple of 30, 27, 47, 378.

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(30, 27, 47, 378) = 2 x 3 x 3 x 3 x 5 x 7 x 47 = 88830.