Least Common Multiple of 206, 768, 96

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 206, 768, 96 i.e. 79104 smallest integer divisible by all numbers.

Least common multiple (LCM) of 206, 768, 96 is 79104.

LCM(206, 768, 96) = 79104

LCM of 206, 768, 96

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

LCM of:

Least Common Multiple of 206,768,96

Least Common Multiple (LCM) of 206,768,96 is 79104

2 206, 768, 96
2 103, 384, 48
2 103, 192, 24
2 103, 96, 12
2 103, 48, 6
3 103, 24, 3
103, 8, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 103 x 8 x 1 = 79104

Least Common Multiple of 206,768,96 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 206,768,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,768,96) = 2

common factors(in case of two or more numbers have common factors) = 96

GCF(206,768,96) x common factors =2 x 96 = 192

LCM(206,768,96) = ( 206 × 768 × 96 ) / 192

LCM(206,768,96) = 15187968 / 192

LCM(206,768,96) = 79104

∴ Least Common Multiple of 206,768,96 is 79104

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 206, 768, 96

1. What is the LCM of 206, 768, 96?

Answer: LCM of 206, 768, 96 is 79104.

2. What are the Factors of 79104?

Answer: Factors of 79104 are . There are integers that are factors of 79104

3. How to Find the LCM of 206, 768, 96 ?

Least Common Multiple of 206, 768, 96.

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(206, 768, 96) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 103 = 79104.