Least Common Multiple of 689, 184, 261, 966, 331

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 689, 184, 261, 966, 331 i.e. 76666137912 smallest integer divisible by all numbers.

Least common multiple (LCM) of 689, 184, 261, 966, 331 is 76666137912.

LCM(689, 184, 261, 966, 331) = 76666137912

LCM of 689, 184, 261, 966, 331

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

LCM of:

Least Common Multiple of 689,184,261,966,331

Least Common Multiple (LCM) of 689,184,261,966,331 is 76666137912

2 689, 184, 261, 966, 331
3 689, 92, 261, 483, 331
23 689, 92, 87, 161, 331
689, 4, 87, 7, 331

∴ So the LCM of the given numbers is 2 x 3 x 23 x 689 x 4 x 87 x 7 x 331 = 76666137912

Least Common Multiple of 689,184,261,966,331 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 689,184,261,966,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,184,261,966,331) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(689,184,261,966,331) x common factors =1 x 138 = 138

LCM(689,184,261,966,331) = ( 689 × 184 × 261 × 966 × 331 ) / 138

LCM(689,184,261,966,331) = 10579927031856 / 138

LCM(689,184,261,966,331) = 76666137912

∴ Least Common Multiple of 689,184,261,966,331 is 76666137912

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 689, 184, 261, 966, 331

1. What is the LCM of 689, 184, 261, 966, 331?

Answer: LCM of 689, 184, 261, 966, 331 is 76666137912.

2. What are the Factors of 76666137912?

Answer: Factors of 76666137912 are . There are integers that are factors of 76666137912

3. How to Find the LCM of 689, 184, 261, 966, 331 ?

Least Common Multiple of 689, 184, 261, 966, 331.

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(689, 184, 261, 966, 331) = 2 x 2 x 2 x 3 x 3 x 7 x 13 x 23 x 29 x 53 x 331 = 76666137912.