Least Common Multiple of 42, 405, 972

Q: How to Find the LCM of 42, 405, 972 ?

Least Common Multiple of 42, 405, 972 = 34020 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(42, 405, 972) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 = 34020.

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 42, 405, 972 i.e. 34020 smallest integer divisible by all numbers.

Least common multiple (LCM) of 42, 405, 972 is 34020.

LCM(42, 405, 972) = 34020

LCM of 42, 405, 972

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

Least Common Multiple of 42, 405, 972 by common division method
Least Common Multiple of 42, 405, 972 with GCF Formula

Least Common Multiple of 42,405,972

Least Common Multiple (LCM) of 42,405,972 is 34020

2	42, 405, 972
3	21, 405, 486
3	7, 135, 162
3	7, 45, 54
3	7, 15, 18
	7, 5, 6

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 3 x 7 x 5 x 6 = 34020

Least Common Multiple of 42,405,972 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 42,405,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,405,972) = 3

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

GCF(42,405,972) x common factors =3 x 162 = 486

LCM(42,405,972) = ( 42 × 405 × 972 ) / 486

LCM(42,405,972) = 16533720 / 486

LCM(42,405,972) = 34020

∴ Least Common Multiple of 42,405,972 is 34020

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 42, 405, 972

1. What is the LCM of 42, 405, 972?

Answer: LCM of 42, 405, 972 is 34020.

2. What are the Factors of 34020?

Answer: Factors of 34020 are . There are integers that are factors of 34020

3. How to Find the LCM of 42, 405, 972 ?

Least Common Multiple of 42, 405, 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(42, 405, 972) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 = 34020.