Least Common Multiple of 243, 390, 364, 515

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 243, 390, 364, 515 i.e. 45552780 smallest integer divisible by all numbers.

Least common multiple (LCM) of 243, 390, 364, 515 is 45552780.

LCM(243, 390, 364, 515) = 45552780

LCM of 243, 390, 364, 515

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

LCM of:

Least Common Multiple of 243,390,364,515

Least Common Multiple (LCM) of 243,390,364,515 is 45552780

2 243, 390, 364, 515
3 243, 195, 182, 515
5 81, 65, 182, 515
13 81, 13, 182, 103
81, 1, 14, 103

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 81 x 1 x 14 x 103 = 45552780

Least Common Multiple of 243,390,364,515 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 243,390,364,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,390,364,515) = 1

common factors(in case of two or more numbers have common factors) = 390

GCF(243,390,364,515) x common factors =1 x 390 = 390

LCM(243,390,364,515) = ( 243 × 390 × 364 × 515 ) / 390

LCM(243,390,364,515) = 17765584200 / 390

LCM(243,390,364,515) = 45552780

∴ Least Common Multiple of 243,390,364,515 is 45552780

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 243, 390, 364, 515

1. What is the LCM of 243, 390, 364, 515?

Answer: LCM of 243, 390, 364, 515 is 45552780.

2. What are the Factors of 45552780?

Answer: Factors of 45552780 are . There are integers that are factors of 45552780

3. How to Find the LCM of 243, 390, 364, 515 ?

Least Common Multiple of 243, 390, 364, 515.

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(243, 390, 364, 515) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 13 x 103 = 45552780.