Least Common Multiple of 45, 21, 40, 120

Q: How to Find the LCM of 45, 21, 40, 120 ?

Least Common Multiple of 45, 21, 40, 120 = 2520 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(45, 21, 40, 120) = 2 x 2 x 2 x 3 x 3 x 5 x 7 = 2520.

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 45, 21, 40, 120 i.e. 2520 smallest integer divisible by all numbers.

Least common multiple (LCM) of 45, 21, 40, 120 is 2520.

LCM(45, 21, 40, 120) = 2520

LCM of 45, 21, 40, 120

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

Least Common Multiple of 45, 21, 40, 120 by common division method
Least Common Multiple of 45, 21, 40, 120 with GCF Formula

Least Common Multiple of 45,21,40,120

Least Common Multiple (LCM) of 45,21,40,120 is 2520

2	45, 21, 40, 120
2	45, 21, 20, 60
2	45, 21, 10, 30
3	45, 21, 5, 15
5	5, 7, 5, 15
	1, 7, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 7 x 1 x 3 = 2520

Least Common Multiple of 45,21,40,120 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 45,21,40,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,21,40,120) = 1

common factors(in case of two or more numbers have common factors) = 1800

GCF(45,21,40,120) x common factors =1 x 1800 = 1800

LCM(45,21,40,120) = ( 45 × 21 × 40 × 120 ) / 1800

LCM(45,21,40,120) = 4536000 / 1800

LCM(45,21,40,120) = 2520

∴ Least Common Multiple of 45,21,40,120 is 2520

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 45, 21, 40, 120

1. What is the LCM of 45, 21, 40, 120?

Answer: LCM of 45, 21, 40, 120 is 2520.

2. What are the Factors of 2520?

Answer: Factors of 2520 are . There are integers that are factors of 2520

3. How to Find the LCM of 45, 21, 40, 120 ?

Least Common Multiple of 45, 21, 40, 120.

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(45, 21, 40, 120) = 2 x 2 x 2 x 3 x 3 x 5 x 7 = 2520.