Least Common Multiple of 405, 361, 364

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 405, 361, 364 i.e. 53218620 smallest integer divisible by all numbers.

Least common multiple (LCM) of 405, 361, 364 is 53218620.

LCM(405, 361, 364) = 53218620

LCM of 405, 361, 364

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

LCM of:

Least Common Multiple of 405,361,364

Least Common Multiple (LCM) of 405,361,364 is 53218620

Given numbers has no common factors except 1. So, there LCM is their product i.e 53218620

Least Common Multiple of 405,361,364 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 405,361,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,361,364) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(405,361,364) x common factors =1 x 1 = 1

LCM(405,361,364) = ( 405 × 361 × 364 ) / 1

LCM(405,361,364) = 53218620 / 1

LCM(405,361,364) = 53218620

∴ Least Common Multiple of 405,361,364 is 53218620

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 405, 361, 364

1. What is the LCM of 405, 361, 364?

Answer: LCM of 405, 361, 364 is 53218620.

2. What are the Factors of 53218620?

Answer: Factors of 53218620 are . There are integers that are factors of 53218620

3. How to Find the LCM of 405, 361, 364 ?

Least Common Multiple of 405, 361, 364.

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(405, 361, 364) = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 13 x 19 x 19 = 53218620.