Least Common Multiple of 60, 72, 48, 456

Q: How to Find the LCM of 60, 72, 48, 456 ?

Least Common Multiple of 60, 72, 48, 456 = 13680 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(60, 72, 48, 456) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 19 = 13680.

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 60, 72, 48, 456 i.e. 13680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 60, 72, 48, 456 is 13680.

LCM(60, 72, 48, 456) = 13680

LCM of 60, 72, 48, 456

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

Least Common Multiple of 60, 72, 48, 456 by common division method
Least Common Multiple of 60, 72, 48, 456 with GCF Formula

Least Common Multiple of 60,72,48,456

Least Common Multiple (LCM) of 60,72,48,456 is 13680

2	60, 72, 48, 456
2	30, 36, 24, 228
2	15, 18, 12, 114
3	15, 9, 6, 57
	5, 3, 2, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 3 x 2 x 19 = 13680

Least Common Multiple of 60,72,48,456 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 60,72,48,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,72,48,456) = 12

common factors(in case of two or more numbers have common factors) = 576

GCF(60,72,48,456) x common factors =12 x 576 = 6912

LCM(60,72,48,456) = ( 60 × 72 × 48 × 456 ) / 6912

LCM(60,72,48,456) = 94556160 / 6912

LCM(60,72,48,456) = 13680

∴ Least Common Multiple of 60,72,48,456 is 13680

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 60, 72, 48, 456

1. What is the LCM of 60, 72, 48, 456?

Answer: LCM of 60, 72, 48, 456 is 13680.

2. What are the Factors of 13680?

Answer: Factors of 13680 are . There are integers that are factors of 13680

3. How to Find the LCM of 60, 72, 48, 456 ?

Least Common Multiple of 60, 72, 48, 456.

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(60, 72, 48, 456) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 19 = 13680.