Least Common Multiple of 369, 732, 72

Q: How to Find the LCM of 369, 732, 72 ?

Least Common Multiple of 369, 732, 72 = 180072 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(369, 732, 72) = 2 x 2 x 2 x 3 x 3 x 41 x 61 = 180072.

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 369, 732, 72 i.e. 180072 smallest integer divisible by all numbers.

Least common multiple (LCM) of 369, 732, 72 is 180072.

LCM(369, 732, 72) = 180072

LCM of 369, 732, 72

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

Least Common Multiple of 369, 732, 72 by common division method
Least Common Multiple of 369, 732, 72 with GCF Formula

Least Common Multiple of 369,732,72

Least Common Multiple (LCM) of 369,732,72 is 180072

2	369, 732, 72
2	369, 366, 36
3	369, 183, 18
3	123, 61, 6
	41, 61, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 41 x 61 x 2 = 180072

Least Common Multiple of 369,732,72 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 369,732,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,732,72) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(369,732,72) x common factors =3 x 36 = 108

LCM(369,732,72) = ( 369 × 732 × 72 ) / 108

LCM(369,732,72) = 19447776 / 108

LCM(369,732,72) = 180072

∴ Least Common Multiple of 369,732,72 is 180072

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 369, 732, 72

1. What is the LCM of 369, 732, 72?

Answer: LCM of 369, 732, 72 is 180072.

2. What are the Factors of 180072?

Answer: Factors of 180072 are . There are integers that are factors of 180072

3. How to Find the LCM of 369, 732, 72 ?

Least Common Multiple of 369, 732, 72.

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(369, 732, 72) = 2 x 2 x 2 x 3 x 3 x 41 x 61 = 180072.