Least Common Multiple of 66, 85, 99, 580

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 66, 85, 99, 580 i.e. 976140 smallest integer divisible by all numbers.

Least common multiple (LCM) of 66, 85, 99, 580 is 976140.

LCM(66, 85, 99, 580) = 976140

LCM of 66, 85, 99, 580

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

LCM of:

Least Common Multiple of 66,85,99,580

Least Common Multiple (LCM) of 66,85,99,580 is 976140

2 66, 85, 99, 580
3 33, 85, 99, 290
5 11, 85, 33, 290
11 11, 17, 33, 58
1, 17, 3, 58

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 1 x 17 x 3 x 58 = 976140

Least Common Multiple of 66,85,99,580 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 66,85,99,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,85,99,580) = 1

common factors(in case of two or more numbers have common factors) = 330

GCF(66,85,99,580) x common factors =1 x 330 = 330

LCM(66,85,99,580) = ( 66 × 85 × 99 × 580 ) / 330

LCM(66,85,99,580) = 322126200 / 330

LCM(66,85,99,580) = 976140

∴ Least Common Multiple of 66,85,99,580 is 976140

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 66, 85, 99, 580

1. What is the LCM of 66, 85, 99, 580?

Answer: LCM of 66, 85, 99, 580 is 976140.

2. What are the Factors of 976140?

Answer: Factors of 976140 are . There are integers that are factors of 976140

3. How to Find the LCM of 66, 85, 99, 580 ?

Least Common Multiple of 66, 85, 99, 580.

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(66, 85, 99, 580) = 2 x 2 x 3 x 3 x 5 x 11 x 17 x 29 = 976140.