Least Common Multiple of 735, 254, 684

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 735, 254, 684 i.e. 21282660 smallest integer divisible by all numbers.

Least common multiple (LCM) of 735, 254, 684 is 21282660.

LCM(735, 254, 684) = 21282660

LCM of 735, 254, 684

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

LCM of:

Least Common Multiple of 735,254,684

Least Common Multiple (LCM) of 735,254,684 is 21282660

2 735, 254, 684
3 735, 127, 342
245, 127, 114

∴ So the LCM of the given numbers is 2 x 3 x 245 x 127 x 114 = 21282660

Least Common Multiple of 735,254,684 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 735,254,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,254,684) = 1

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

GCF(735,254,684) x common factors =1 x 6 = 6

LCM(735,254,684) = ( 735 × 254 × 684 ) / 6

LCM(735,254,684) = 127695960 / 6

LCM(735,254,684) = 21282660

∴ Least Common Multiple of 735,254,684 is 21282660

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 735, 254, 684

1. What is the LCM of 735, 254, 684?

Answer: LCM of 735, 254, 684 is 21282660.

2. What are the Factors of 21282660?

Answer: Factors of 21282660 are . There are integers that are factors of 21282660

3. How to Find the LCM of 735, 254, 684 ?

Least Common Multiple of 735, 254, 684.

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(735, 254, 684) = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 19 x 127 = 21282660.