Least Common Multiple of 966, 279, 218, 236, 260

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 966, 279, 218, 236, 260 i.e. 75107263140 smallest integer divisible by all numbers.

Least common multiple (LCM) of 966, 279, 218, 236, 260 is 75107263140.

LCM(966, 279, 218, 236, 260) = 75107263140

LCM of 966, 279, 218, 236, 260

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

LCM of:

Least Common Multiple of 966,279,218,236,260

Least Common Multiple (LCM) of 966,279,218,236,260 is 75107263140

2 966, 279, 218, 236, 260
2 483, 279, 109, 118, 130
3 483, 279, 109, 59, 65
161, 93, 109, 59, 65

∴ So the LCM of the given numbers is 2 x 2 x 3 x 161 x 93 x 109 x 59 x 65 = 75107263140

Least Common Multiple of 966,279,218,236,260 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 966,279,218,236,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,279,218,236,260) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(966,279,218,236,260) x common factors =1 x 48 = 48

LCM(966,279,218,236,260) = ( 966 × 279 × 218 × 236 × 260 ) / 48

LCM(966,279,218,236,260) = 3605148630720 / 48

LCM(966,279,218,236,260) = 75107263140

∴ Least Common Multiple of 966,279,218,236,260 is 75107263140

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 966, 279, 218, 236, 260

1. What is the LCM of 966, 279, 218, 236, 260?

Answer: LCM of 966, 279, 218, 236, 260 is 75107263140.

2. What are the Factors of 75107263140?

Answer: Factors of 75107263140 are . There are integers that are factors of 75107263140

3. How to Find the LCM of 966, 279, 218, 236, 260 ?

Least Common Multiple of 966, 279, 218, 236, 260.

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(966, 279, 218, 236, 260) = 2 x 2 x 3 x 3 x 5 x 7 x 13 x 23 x 31 x 59 x 109 = 75107263140.