Least Common Multiple of 72, 46, 12, 420

Q: How to Find the LCM of 72, 46, 12, 420 ?

Least Common Multiple of 72, 46, 12, 420 = 57960 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(72, 46, 12, 420) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 23 = 57960.

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 72, 46, 12, 420 i.e. 57960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 72, 46, 12, 420 is 57960.

LCM(72, 46, 12, 420) = 57960

LCM of 72, 46, 12, 420

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

Least Common Multiple of 72, 46, 12, 420 by common division method
Least Common Multiple of 72, 46, 12, 420 with GCF Formula

Least Common Multiple of 72,46,12,420

Least Common Multiple (LCM) of 72,46,12,420 is 57960

2	72, 46, 12, 420
2	36, 23, 6, 210
3	18, 23, 3, 105
	6, 23, 1, 35

∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 23 x 1 x 35 = 57960

Least Common Multiple of 72,46,12,420 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 72,46,12,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,46,12,420) = 2

common factors(in case of two or more numbers have common factors) = 144

GCF(72,46,12,420) x common factors =2 x 144 = 288

LCM(72,46,12,420) = ( 72 × 46 × 12 × 420 ) / 288

LCM(72,46,12,420) = 16692480 / 288

LCM(72,46,12,420) = 57960

∴ Least Common Multiple of 72,46,12,420 is 57960

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 72, 46, 12, 420

1. What is the LCM of 72, 46, 12, 420?

Answer: LCM of 72, 46, 12, 420 is 57960.

2. What are the Factors of 57960?

Answer: Factors of 57960 are . There are integers that are factors of 57960

3. How to Find the LCM of 72, 46, 12, 420 ?

Least Common Multiple of 72, 46, 12, 420.

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(72, 46, 12, 420) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 23 = 57960.