Least Common Multiple of 86, 96, 304

Q: How to Find the LCM of 86, 96, 304 ?

Least Common Multiple of 86, 96, 304 = 78432 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(86, 96, 304) = 2 x 2 x 2 x 2 x 2 x 3 x 19 x 43 = 78432.

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 86, 96, 304 i.e. 78432 smallest integer divisible by all numbers.

Least common multiple (LCM) of 86, 96, 304 is 78432.

LCM(86, 96, 304) = 78432

LCM of 86, 96, 304

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

Least Common Multiple of 86, 96, 304 by common division method
Least Common Multiple of 86, 96, 304 with GCF Formula

Least Common Multiple of 86,96,304

Least Common Multiple (LCM) of 86,96,304 is 78432

2	86, 96, 304
2	43, 48, 152
2	43, 24, 76
2	43, 12, 38
	43, 6, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 43 x 6 x 19 = 78432

Least Common Multiple of 86,96,304 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 86,96,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,96,304) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(86,96,304) x common factors =2 x 16 = 32

LCM(86,96,304) = ( 86 × 96 × 304 ) / 32

LCM(86,96,304) = 2509824 / 32

LCM(86,96,304) = 78432

∴ Least Common Multiple of 86,96,304 is 78432

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 86, 96, 304

1. What is the LCM of 86, 96, 304?

Answer: LCM of 86, 96, 304 is 78432.

2. What are the Factors of 78432?

Answer: Factors of 78432 are . There are integers that are factors of 78432

3. How to Find the LCM of 86, 96, 304 ?

Least Common Multiple of 86, 96, 304.

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(86, 96, 304) = 2 x 2 x 2 x 2 x 2 x 3 x 19 x 43 = 78432.