Least Common Multiple of 264, 368, 978, 481, 507

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 264, 368, 978, 481, 507 i.e. 12377638416 smallest integer divisible by all numbers.

Least common multiple (LCM) of 264, 368, 978, 481, 507 is 12377638416.

LCM(264, 368, 978, 481, 507) = 12377638416

LCM of 264, 368, 978, 481, 507

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

LCM of:

Least Common Multiple of 264,368,978,481,507

Least Common Multiple (LCM) of 264,368,978,481,507 is 12377638416

2 264, 368, 978, 481, 507
2 132, 184, 489, 481, 507
2 66, 92, 489, 481, 507
3 33, 46, 489, 481, 507
13 11, 46, 163, 481, 169
11, 46, 163, 37, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 11 x 46 x 163 x 37 x 13 = 12377638416

Least Common Multiple of 264,368,978,481,507 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 264,368,978,481,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,368,978,481,507) = 1

common factors(in case of two or more numbers have common factors) = 1872

GCF(264,368,978,481,507) x common factors =1 x 1872 = 1872

LCM(264,368,978,481,507) = ( 264 × 368 × 978 × 481 × 507 ) / 1872

LCM(264,368,978,481,507) = 23170939114752 / 1872

LCM(264,368,978,481,507) = 12377638416

∴ Least Common Multiple of 264,368,978,481,507 is 12377638416

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 264, 368, 978, 481, 507

1. What is the LCM of 264, 368, 978, 481, 507?

Answer: LCM of 264, 368, 978, 481, 507 is 12377638416.

2. What are the Factors of 12377638416?

Answer: Factors of 12377638416 are . There are integers that are factors of 12377638416

3. How to Find the LCM of 264, 368, 978, 481, 507 ?

Least Common Multiple of 264, 368, 978, 481, 507.

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(264, 368, 978, 481, 507) = 2 x 2 x 2 x 2 x 3 x 11 x 13 x 13 x 23 x 37 x 163 = 12377638416.