Least Common Multiple of 60, 75, 54, 189

Q: How to Find the LCM of 60, 75, 54, 189 ?

Least Common Multiple of 60, 75, 54, 189 = 18900 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(60, 75, 54, 189) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 = 18900.

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 60, 75, 54, 189 i.e. 18900 smallest integer divisible by all numbers.

Least common multiple (LCM) of 60, 75, 54, 189 is 18900.

LCM(60, 75, 54, 189) = 18900

LCM of 60, 75, 54, 189

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

Least Common Multiple of 60, 75, 54, 189 by common division method
Least Common Multiple of 60, 75, 54, 189 with GCF Formula

Least Common Multiple of 60,75,54,189

Least Common Multiple (LCM) of 60,75,54,189 is 18900

2	60, 75, 54, 189
3	30, 75, 27, 189
3	10, 25, 9, 63
3	10, 25, 3, 21
5	10, 25, 1, 7
	2, 5, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 2 x 5 x 1 x 7 = 18900

Least Common Multiple of 60,75,54,189 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 60,75,54,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,75,54,189) = 3

common factors(in case of two or more numbers have common factors) = 810

GCF(60,75,54,189) x common factors =3 x 810 = 2430

LCM(60,75,54,189) = ( 60 × 75 × 54 × 189 ) / 2430

LCM(60,75,54,189) = 45927000 / 2430

LCM(60,75,54,189) = 18900

∴ Least Common Multiple of 60,75,54,189 is 18900

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 60, 75, 54, 189

1. What is the LCM of 60, 75, 54, 189?

Answer: LCM of 60, 75, 54, 189 is 18900.

2. What are the Factors of 18900?

Answer: Factors of 18900 are . There are integers that are factors of 18900

3. How to Find the LCM of 60, 75, 54, 189 ?

Least Common Multiple of 60, 75, 54, 189.

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(60, 75, 54, 189) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 = 18900.