Least Common Multiple of 64, 36, 343

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 64, 36, 343 i.e. 197568 smallest integer divisible by all numbers.

Least common multiple (LCM) of 64, 36, 343 is 197568.

LCM(64, 36, 343) = 197568

LCM of 64, 36, 343

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

LCM of:

Least Common Multiple of 64,36,343

Least Common Multiple (LCM) of 64,36,343 is 197568

2 64, 36, 343
2 32, 18, 343
16, 9, 343

∴ So the LCM of the given numbers is 2 x 2 x 16 x 9 x 343 = 197568

Least Common Multiple of 64,36,343 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 64,36,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,36,343) = 1

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

GCF(64,36,343) x common factors =1 x 4 = 4

LCM(64,36,343) = ( 64 × 36 × 343 ) / 4

LCM(64,36,343) = 790272 / 4

LCM(64,36,343) = 197568

∴ Least Common Multiple of 64,36,343 is 197568

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 64, 36, 343

1. What is the LCM of 64, 36, 343?

Answer: LCM of 64, 36, 343 is 197568.

2. What are the Factors of 197568?

Answer: Factors of 197568 are . There are integers that are factors of 197568

3. How to Find the LCM of 64, 36, 343 ?

Least Common Multiple of 64, 36, 343.

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(64, 36, 343) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 7 = 197568.