Least Common Multiple of 363, 660, 748

Q: How to Find the LCM of 363, 660, 748 ?

Least Common Multiple of 363, 660, 748 = 123420 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(363, 660, 748) = 2 x 2 x 3 x 5 x 11 x 11 x 17 = 123420.

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 363, 660, 748 i.e. 123420 smallest integer divisible by all numbers.

Least common multiple (LCM) of 363, 660, 748 is 123420.

LCM(363, 660, 748) = 123420

LCM of 363, 660, 748

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

Least Common Multiple of 363, 660, 748 by common division method
Least Common Multiple of 363, 660, 748 with GCF Formula

Least Common Multiple of 363,660,748

Least Common Multiple (LCM) of 363,660,748 is 123420

2	363, 660, 748
2	363, 330, 374
3	363, 165, 187
11	121, 55, 187
	11, 5, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 11 x 5 x 17 = 123420

Least Common Multiple of 363,660,748 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 363,660,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,660,748) = 11

common factors(in case of two or more numbers have common factors) = 132

GCF(363,660,748) x common factors =11 x 132 = 1452

LCM(363,660,748) = ( 363 × 660 × 748 ) / 1452

LCM(363,660,748) = 179205840 / 1452

LCM(363,660,748) = 123420

∴ Least Common Multiple of 363,660,748 is 123420

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 363, 660, 748

1. What is the LCM of 363, 660, 748?

Answer: LCM of 363, 660, 748 is 123420.

2. What are the Factors of 123420?

Answer: Factors of 123420 are . There are integers that are factors of 123420

3. How to Find the LCM of 363, 660, 748 ?

Least Common Multiple of 363, 660, 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(363, 660, 748) = 2 x 2 x 3 x 5 x 11 x 11 x 17 = 123420.