Least Common Multiple of 45, 72, 870

Q: How to Find the LCM of 45, 72, 870 ?

Least Common Multiple of 45, 72, 870 = 10440 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, 72, 870) = 2 x 2 x 2 x 3 x 3 x 5 x 29 = 10440.

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, 72, 870 i.e. 10440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 45, 72, 870 is 10440.

LCM(45, 72, 870) = 10440

LCM of 45, 72, 870

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

Least Common Multiple of 45, 72, 870 by common division method
Least Common Multiple of 45, 72, 870 with GCF Formula

Least Common Multiple of 45,72,870

Least Common Multiple (LCM) of 45,72,870 is 10440

2	45, 72, 870
3	45, 36, 435
3	15, 12, 145
5	5, 4, 145
	1, 4, 29

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 4 x 29 = 10440

Least Common Multiple of 45,72,870 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 45,72,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,72,870) = 3

common factors(in case of two or more numbers have common factors) = 90

GCF(45,72,870) x common factors =3 x 90 = 270

LCM(45,72,870) = ( 45 × 72 × 870 ) / 270

LCM(45,72,870) = 2818800 / 270

LCM(45,72,870) = 10440

∴ Least Common Multiple of 45,72,870 is 10440

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, 72, 870

1. What is the LCM of 45, 72, 870?

Answer: LCM of 45, 72, 870 is 10440.

2. What are the Factors of 10440?

Answer: Factors of 10440 are . There are integers that are factors of 10440

3. How to Find the LCM of 45, 72, 870 ?

Least Common Multiple of 45, 72, 870.

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, 72, 870) = 2 x 2 x 2 x 3 x 3 x 5 x 29 = 10440.