Least Common Multiple of 768, 314, 363

Q: How to Find the LCM of 768, 314, 363 ?

Least Common Multiple of 768, 314, 363 = 14589696 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(768, 314, 363) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 11 x 157 = 14589696.

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 768, 314, 363 i.e. 14589696 smallest integer divisible by all numbers.

Least common multiple (LCM) of 768, 314, 363 is 14589696.

LCM(768, 314, 363) = 14589696

LCM of 768, 314, 363

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

Least Common Multiple of 768, 314, 363 by common division method
Least Common Multiple of 768, 314, 363 with GCF Formula

Least Common Multiple of 768,314,363

Least Common Multiple (LCM) of 768,314,363 is 14589696

2	768, 314, 363
3	384, 157, 363
	128, 157, 121

∴ So the LCM of the given numbers is 2 x 3 x 128 x 157 x 121 = 14589696

Least Common Multiple of 768,314,363 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 768,314,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,314,363) = 1

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

GCF(768,314,363) x common factors =1 x 6 = 6

LCM(768,314,363) = ( 768 × 314 × 363 ) / 6

LCM(768,314,363) = 87538176 / 6

LCM(768,314,363) = 14589696

∴ Least Common Multiple of 768,314,363 is 14589696

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 768, 314, 363

1. What is the LCM of 768, 314, 363?

Answer: LCM of 768, 314, 363 is 14589696.

2. What are the Factors of 14589696?

Answer: Factors of 14589696 are . There are integers that are factors of 14589696

3. How to Find the LCM of 768, 314, 363 ?

Least Common Multiple of 768, 314, 363.

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(768, 314, 363) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 11 x 157 = 14589696.