Least Common Multiple of 189, 459, 748

Q: How to Find the LCM of 189, 459, 748 ?

Least Common Multiple of 189, 459, 748 = 141372 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, 459, 748) = 2 x 2 x 3 x 3 x 3 x 7 x 11 x 17 = 141372.

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, 459, 748 i.e. 141372 smallest integer divisible by all numbers.

Least common multiple (LCM) of 189, 459, 748 is 141372.

LCM(189, 459, 748) = 141372

LCM of 189, 459, 748

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

Least Common Multiple of 189, 459, 748 by common division method
Least Common Multiple of 189, 459, 748 with GCF Formula

Least Common Multiple of 189,459,748

Least Common Multiple (LCM) of 189,459,748 is 141372

3	189, 459, 748
3	63, 153, 748
3	21, 51, 748
17	7, 17, 748
	7, 1, 44

∴ So the LCM of the given numbers is 3 x 3 x 3 x 17 x 7 x 1 x 44 = 141372

Least Common Multiple of 189,459,748 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 189,459,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,459,748) = 1

common factors(in case of two or more numbers have common factors) = 459

GCF(189,459,748) x common factors =1 x 459 = 459

LCM(189,459,748) = ( 189 × 459 × 748 ) / 459

LCM(189,459,748) = 64889748 / 459

LCM(189,459,748) = 141372

∴ Least Common Multiple of 189,459,748 is 141372

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 189, 459, 748

1. What is the LCM of 189, 459, 748?

Answer: LCM of 189, 459, 748 is 141372.

2. What are the Factors of 141372?

Answer: Factors of 141372 are . There are integers that are factors of 141372

3. How to Find the LCM of 189, 459, 748 ?

Least Common Multiple of 189, 459, 748.

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, 459, 748) = 2 x 2 x 3 x 3 x 3 x 7 x 11 x 17 = 141372.