Least Common Multiple of 66, 306, 289

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, 306, 289 i.e. 57222 smallest integer divisible by all numbers.

Least common multiple (LCM) of 66, 306, 289 is 57222.

LCM(66, 306, 289) = 57222

LCM of 66, 306, 289

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

LCM of:

Least Common Multiple of 66,306,289

Least Common Multiple (LCM) of 66,306,289 is 57222

2 66, 306, 289
3 33, 153, 289
17 11, 51, 289
11, 3, 17

∴ So the LCM of the given numbers is 2 x 3 x 17 x 11 x 3 x 17 = 57222

Least Common Multiple of 66,306,289 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 66,306,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,306,289) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(66,306,289) x common factors =1 x 102 = 102

LCM(66,306,289) = ( 66 × 306 × 289 ) / 102

LCM(66,306,289) = 5836644 / 102

LCM(66,306,289) = 57222

∴ Least Common Multiple of 66,306,289 is 57222

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 66, 306, 289

1. What is the LCM of 66, 306, 289?

Answer: LCM of 66, 306, 289 is 57222.

2. What are the Factors of 57222?

Answer: Factors of 57222 are . There are integers that are factors of 57222

3. How to Find the LCM of 66, 306, 289 ?

Least Common Multiple of 66, 306, 289.

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, 306, 289) = 2 x 3 x 3 x 11 x 17 x 17 = 57222.