Least Common Multiple of 916, 567, 405, 651, 952

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 916, 567, 405, 651, 952 i.e. 2737090440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 916, 567, 405, 651, 952 is 2737090440.

LCM(916, 567, 405, 651, 952) = 2737090440

LCM of 916, 567, 405, 651, 952

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

LCM of:

Least Common Multiple of 916,567,405,651,952

Least Common Multiple (LCM) of 916,567,405,651,952 is 2737090440

2 916, 567, 405, 651, 952
2 458, 567, 405, 651, 476
3 229, 567, 405, 651, 238
3 229, 189, 135, 217, 238
3 229, 63, 45, 217, 238
3 229, 21, 15, 217, 238
7 229, 7, 5, 217, 238
229, 1, 5, 31, 34

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 3 x 7 x 229 x 1 x 5 x 31 x 34 = 2737090440

Least Common Multiple of 916,567,405,651,952 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 916,567,405,651,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,567,405,651,952) = 1

common factors(in case of two or more numbers have common factors) = 47628

GCF(916,567,405,651,952) x common factors =1 x 47628 = 47628

LCM(916,567,405,651,952) = ( 916 × 567 × 405 × 651 × 952 ) / 47628

LCM(916,567,405,651,952) = 130362143476320 / 47628

LCM(916,567,405,651,952) = 2737090440

∴ Least Common Multiple of 916,567,405,651,952 is 2737090440

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 916, 567, 405, 651, 952

1. What is the LCM of 916, 567, 405, 651, 952?

Answer: LCM of 916, 567, 405, 651, 952 is 2737090440.

2. What are the Factors of 2737090440?

Answer: Factors of 2737090440 are . There are integers that are factors of 2737090440

3. How to Find the LCM of 916, 567, 405, 651, 952 ?

Least Common Multiple of 916, 567, 405, 651, 952.

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(916, 567, 405, 651, 952) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 17 x 31 x 229 = 2737090440.