Least Common Multiple of 404, 405, 678

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 404, 405, 678 i.e. 18489060 smallest integer divisible by all numbers.

Least common multiple (LCM) of 404, 405, 678 is 18489060.

LCM(404, 405, 678) = 18489060

LCM of 404, 405, 678

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

LCM of:

Least Common Multiple of 404,405,678

Least Common Multiple (LCM) of 404,405,678 is 18489060

2 404, 405, 678
3 202, 405, 339
202, 135, 113

∴ So the LCM of the given numbers is 2 x 3 x 202 x 135 x 113 = 18489060

Least Common Multiple of 404,405,678 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 404,405,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,405,678) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(404,405,678) x common factors =1 x 6 = 6

LCM(404,405,678) = ( 404 × 405 × 678 ) / 6

LCM(404,405,678) = 110934360 / 6

LCM(404,405,678) = 18489060

∴ Least Common Multiple of 404,405,678 is 18489060

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 404, 405, 678

1. What is the LCM of 404, 405, 678?

Answer: LCM of 404, 405, 678 is 18489060.

2. What are the Factors of 18489060?

Answer: Factors of 18489060 are . There are integers that are factors of 18489060

3. How to Find the LCM of 404, 405, 678 ?

Least Common Multiple of 404, 405, 678.

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(404, 405, 678) = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 101 x 113 = 18489060.