Least Common Multiple of 27, 64, 768

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 27, 64, 768 i.e. 6912 smallest integer divisible by all numbers.

Least common multiple (LCM) of 27, 64, 768 is 6912.

LCM(27, 64, 768) = 6912

LCM of 27, 64, 768

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

LCM of:

Least Common Multiple of 27,64,768

Least Common Multiple (LCM) of 27,64,768 is 6912

2 27, 64, 768
2 27, 32, 384
2 27, 16, 192
2 27, 8, 96
2 27, 4, 48
2 27, 2, 24
3 27, 1, 12
9, 1, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 9 x 1 x 4 = 6912

Least Common Multiple of 27,64,768 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 27,64,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,64,768) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(27,64,768) x common factors =1 x 192 = 192

LCM(27,64,768) = ( 27 × 64 × 768 ) / 192

LCM(27,64,768) = 1327104 / 192

LCM(27,64,768) = 6912

∴ Least Common Multiple of 27,64,768 is 6912

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 27, 64, 768

1. What is the LCM of 27, 64, 768?

Answer: LCM of 27, 64, 768 is 6912.

2. What are the Factors of 6912?

Answer: Factors of 6912 are . There are integers that are factors of 6912

3. How to Find the LCM of 27, 64, 768 ?

Least Common Multiple of 27, 64, 768.

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(27, 64, 768) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 = 6912.