Least Common Multiple of 228, 969, 363, 744

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, 969, 363, 744 i.e. 29077752 smallest integer divisible by all numbers.

Least common multiple (LCM) of 228, 969, 363, 744 is 29077752.

LCM(228, 969, 363, 744) = 29077752

LCM of 228, 969, 363, 744

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

LCM of:

Least Common Multiple of 228,969,363,744

Least Common Multiple (LCM) of 228,969,363,744 is 29077752

2 228, 969, 363, 744
2 114, 969, 363, 372
3 57, 969, 363, 186
19 19, 323, 121, 62
1, 17, 121, 62

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 1 x 17 x 121 x 62 = 29077752

Least Common Multiple of 228,969,363,744 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 228,969,363,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,969,363,744) = 3

common factors(in case of two or more numbers have common factors) = 684

GCF(228,969,363,744) x common factors =3 x 684 = 2052

LCM(228,969,363,744) = ( 228 × 969 × 363 × 744 ) / 2052

LCM(228,969,363,744) = 59667547104 / 2052

LCM(228,969,363,744) = 29077752

∴ Least Common Multiple of 228,969,363,744 is 29077752

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 228, 969, 363, 744

1. What is the LCM of 228, 969, 363, 744?

Answer: LCM of 228, 969, 363, 744 is 29077752.

2. What are the Factors of 29077752?

Answer: Factors of 29077752 are . There are integers that are factors of 29077752

3. How to Find the LCM of 228, 969, 363, 744 ?

Least Common Multiple of 228, 969, 363, 744.

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, 969, 363, 744) = 2 x 2 x 2 x 3 x 11 x 11 x 17 x 19 x 31 = 29077752.