Least Common Multiple of 768, 668, 288

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, 668, 288 i.e. 384768 smallest integer divisible by all numbers.

Least common multiple (LCM) of 768, 668, 288 is 384768.

LCM(768, 668, 288) = 384768

LCM of 768, 668, 288

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

LCM of:

Least Common Multiple of 768,668,288

Least Common Multiple (LCM) of 768,668,288 is 384768

2 768, 668, 288
2 384, 334, 144
2 192, 167, 72
2 96, 167, 36
2 48, 167, 18
3 24, 167, 9
8, 167, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 8 x 167 x 3 = 384768

Least Common Multiple of 768,668,288 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 768,668,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,668,288) = 4

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

GCF(768,668,288) x common factors =4 x 96 = 384

LCM(768,668,288) = ( 768 × 668 × 288 ) / 384

LCM(768,668,288) = 147750912 / 384

LCM(768,668,288) = 384768

∴ Least Common Multiple of 768,668,288 is 384768

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, 668, 288

1. What is the LCM of 768, 668, 288?

Answer: LCM of 768, 668, 288 is 384768.

2. What are the Factors of 384768?

Answer: Factors of 384768 are . There are integers that are factors of 384768

3. How to Find the LCM of 768, 668, 288 ?

Least Common Multiple of 768, 668, 288.

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, 668, 288) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 167 = 384768.