Least Common Multiple of 189, 741, 228

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 189, 741, 228 i.e. 186732 smallest integer divisible by all numbers.

Least common multiple (LCM) of 189, 741, 228 is 186732.

LCM(189, 741, 228) = 186732

LCM of 189, 741, 228

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

LCM of:

Least Common Multiple of 189,741,228

Least Common Multiple (LCM) of 189,741,228 is 186732

3 189, 741, 228
19 63, 247, 76
63, 13, 4

∴ So the LCM of the given numbers is 3 x 19 x 63 x 13 x 4 = 186732

Least Common Multiple of 189,741,228 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 189,741,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,741,228) = 3

common factors(in case of two or more numbers have common factors) = 57

GCF(189,741,228) x common factors =3 x 57 = 171

LCM(189,741,228) = ( 189 × 741 × 228 ) / 171

LCM(189,741,228) = 31931172 / 171

LCM(189,741,228) = 186732

∴ Least Common Multiple of 189,741,228 is 186732

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 189, 741, 228

1. What is the LCM of 189, 741, 228?

Answer: LCM of 189, 741, 228 is 186732.

2. What are the Factors of 186732?

Answer: Factors of 186732 are . There are integers that are factors of 186732

3. How to Find the LCM of 189, 741, 228 ?

Least Common Multiple of 189, 741, 228.

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(189, 741, 228) = 2 x 2 x 3 x 3 x 3 x 7 x 13 x 19 = 186732.