Least Common Multiple of 228, 810, 912

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, 810, 912 i.e. 123120 smallest integer divisible by all numbers.

Least common multiple (LCM) of 228, 810, 912 is 123120.

LCM(228, 810, 912) = 123120

LCM of 228, 810, 912

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

LCM of:

Least Common Multiple of 228,810,912

Least Common Multiple (LCM) of 228,810,912 is 123120

2 228, 810, 912
2 114, 405, 456
3 57, 405, 228
19 19, 135, 76
1, 135, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 1 x 135 x 4 = 123120

Least Common Multiple of 228,810,912 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 228,810,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,810,912) = 6

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

GCF(228,810,912) x common factors =6 x 228 = 1368

LCM(228,810,912) = ( 228 × 810 × 912 ) / 1368

LCM(228,810,912) = 168428160 / 1368

LCM(228,810,912) = 123120

∴ Least Common Multiple of 228,810,912 is 123120

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, 810, 912

1. What is the LCM of 228, 810, 912?

Answer: LCM of 228, 810, 912 is 123120.

2. What are the Factors of 123120?

Answer: Factors of 123120 are . There are integers that are factors of 123120

3. How to Find the LCM of 228, 810, 912 ?

Least Common Multiple of 228, 810, 912.

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, 810, 912) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 19 = 123120.