Least Common Multiple of 66, 18, 89, 198

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, 18, 89, 198 i.e. 17622 smallest integer divisible by all numbers.

Least common multiple (LCM) of 66, 18, 89, 198 is 17622.

LCM(66, 18, 89, 198) = 17622

LCM of 66, 18, 89, 198

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

LCM of:

Least Common Multiple of 66,18,89,198

Least Common Multiple (LCM) of 66,18,89,198 is 17622

2 66, 18, 89, 198
3 33, 9, 89, 99
3 11, 3, 89, 33
11 11, 1, 89, 11
1, 1, 89, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 1 x 1 x 89 x 1 = 17622

Least Common Multiple of 66,18,89,198 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 66,18,89,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,18,89,198) = 1

common factors(in case of two or more numbers have common factors) = 1188

GCF(66,18,89,198) x common factors =1 x 1188 = 1188

LCM(66,18,89,198) = ( 66 × 18 × 89 × 198 ) / 1188

LCM(66,18,89,198) = 20934936 / 1188

LCM(66,18,89,198) = 17622

∴ Least Common Multiple of 66,18,89,198 is 17622

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 66, 18, 89, 198

1. What is the LCM of 66, 18, 89, 198?

Answer: LCM of 66, 18, 89, 198 is 17622.

2. What are the Factors of 17622?

Answer: Factors of 17622 are . There are integers that are factors of 17622

3. How to Find the LCM of 66, 18, 89, 198 ?

Least Common Multiple of 66, 18, 89, 198.

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, 18, 89, 198) = 2 x 3 x 3 x 11 x 89 = 17622.