Least Common Multiple of 68, 64, 742

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 68, 64, 742 i.e. 403648 smallest integer divisible by all numbers.

Least common multiple (LCM) of 68, 64, 742 is 403648.

LCM(68, 64, 742) = 403648

LCM of 68, 64, 742

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

LCM of:

Least Common Multiple of 68,64,742

Least Common Multiple (LCM) of 68,64,742 is 403648

2 68, 64, 742
2 34, 32, 371
17, 16, 371

∴ So the LCM of the given numbers is 2 x 2 x 17 x 16 x 371 = 403648

Least Common Multiple of 68,64,742 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 68,64,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,64,742) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(68,64,742) x common factors =2 x 4 = 8

LCM(68,64,742) = ( 68 × 64 × 742 ) / 8

LCM(68,64,742) = 3229184 / 8

LCM(68,64,742) = 403648

∴ Least Common Multiple of 68,64,742 is 403648

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 68, 64, 742

1. What is the LCM of 68, 64, 742?

Answer: LCM of 68, 64, 742 is 403648.

2. What are the Factors of 403648?

Answer: Factors of 403648 are . There are integers that are factors of 403648

3. How to Find the LCM of 68, 64, 742 ?

Least Common Multiple of 68, 64, 742.

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(68, 64, 742) = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 17 x 53 = 403648.