Least Common Multiple of 505, 684, 942

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 505, 684, 942 i.e. 54230940 smallest integer divisible by all numbers.

Least common multiple (LCM) of 505, 684, 942 is 54230940.

LCM(505, 684, 942) = 54230940

LCM of 505, 684, 942

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

LCM of:

Least Common Multiple of 505,684,942

Least Common Multiple (LCM) of 505,684,942 is 54230940

2 505, 684, 942
3 505, 342, 471
505, 114, 157

∴ So the LCM of the given numbers is 2 x 3 x 505 x 114 x 157 = 54230940

Least Common Multiple of 505,684,942 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 505,684,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,684,942) = 1

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

GCF(505,684,942) x common factors =1 x 6 = 6

LCM(505,684,942) = ( 505 × 684 × 942 ) / 6

LCM(505,684,942) = 325385640 / 6

LCM(505,684,942) = 54230940

∴ Least Common Multiple of 505,684,942 is 54230940

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 505, 684, 942

1. What is the LCM of 505, 684, 942?

Answer: LCM of 505, 684, 942 is 54230940.

2. What are the Factors of 54230940?

Answer: Factors of 54230940 are . There are integers that are factors of 54230940

3. How to Find the LCM of 505, 684, 942 ?

Least Common Multiple of 505, 684, 942.

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(505, 684, 942) = 2 x 2 x 3 x 3 x 5 x 19 x 101 x 157 = 54230940.