Least Common Multiple of 27, 30, 972

Q: How to Find the LCM of 27, 30, 972 ?

Least Common Multiple of 27, 30, 972 = 4860 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(27, 30, 972) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 = 4860.

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 27, 30, 972 i.e. 4860 smallest integer divisible by all numbers.

Least common multiple (LCM) of 27, 30, 972 is 4860.

LCM(27, 30, 972) = 4860

LCM of 27, 30, 972

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

Least Common Multiple of 27, 30, 972 by common division method
Least Common Multiple of 27, 30, 972 with GCF Formula

Least Common Multiple of 27,30,972

Least Common Multiple (LCM) of 27,30,972 is 4860

2	27, 30, 972
3	27, 15, 486
3	9, 5, 162
3	3, 5, 54
	1, 5, 18

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 5 x 18 = 4860

Least Common Multiple of 27,30,972 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 27,30,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,30,972) = 3

common factors(in case of two or more numbers have common factors) = 54

GCF(27,30,972) x common factors =3 x 54 = 162

LCM(27,30,972) = ( 27 × 30 × 972 ) / 162

LCM(27,30,972) = 787320 / 162

LCM(27,30,972) = 4860

∴ Least Common Multiple of 27,30,972 is 4860

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 27, 30, 972

1. What is the LCM of 27, 30, 972?

Answer: LCM of 27, 30, 972 is 4860.

2. What are the Factors of 4860?

Answer: Factors of 4860 are . There are integers that are factors of 4860

3. How to Find the LCM of 27, 30, 972 ?

Least Common Multiple of 27, 30, 972.

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(27, 30, 972) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 = 4860.