Least Common Multiple of 228, 465, 456

Q: How to Find the LCM of 228, 465, 456 ?

Least Common Multiple of 228, 465, 456 = 70680 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(228, 465, 456) = 2 x 2 x 2 x 3 x 5 x 19 x 31 = 70680.

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 228, 465, 456 i.e. 70680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 228, 465, 456 is 70680.

LCM(228, 465, 456) = 70680

LCM of 228, 465, 456

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

Least Common Multiple of 228, 465, 456 by common division method
Least Common Multiple of 228, 465, 456 with GCF Formula

Least Common Multiple of 228,465,456

Least Common Multiple (LCM) of 228,465,456 is 70680

2	228, 465, 456
2	114, 465, 228
3	57, 465, 114
19	19, 155, 38
	1, 155, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 1 x 155 x 2 = 70680

Least Common Multiple of 228,465,456 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 228,465,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,465,456) = 3

common factors(in case of two or more numbers have common factors) = 228

GCF(228,465,456) x common factors =3 x 228 = 684

LCM(228,465,456) = ( 228 × 465 × 456 ) / 684

LCM(228,465,456) = 48345120 / 684

LCM(228,465,456) = 70680

∴ Least Common Multiple of 228,465,456 is 70680

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 228, 465, 456

1. What is the LCM of 228, 465, 456?

Answer: LCM of 228, 465, 456 is 70680.

2. What are the Factors of 70680?

Answer: Factors of 70680 are . There are integers that are factors of 70680

3. How to Find the LCM of 228, 465, 456 ?

Least Common Multiple of 228, 465, 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(228, 465, 456) = 2 x 2 x 2 x 3 x 5 x 19 x 31 = 70680.