Least Common Multiple of 65/645, 492/908, 289/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/645, 492/908, 289/294 quickly i.e. 9242220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/645, 492/908, 289/294 is 9242220.

LCM(65/645, 492/908, 289/294) = 9242220

LCM of 65/645, 492/908, 289/294

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 65/645,492/908,289/294

Given numbers are 65/645,492/908,289/294

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 65,492,289

Least Common Multiple of Numerators i.e. LCM of 65,492,289 is 9242220.

GCF of Denominators means GCF of 645,908,294 as per the given fractions.

GCF of 645,908,294 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,492,289

LCM of Fractions 65/645,492/908,289/294 is 9242220

Given numbers has no common factors except 1. So, there LCM is their product i.e 9242220

Least Common Multiple of 65,492,289 with GCF Formula

Least Common Multiple of 65,492,289 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 65,492,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,492,289) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(65,492,289) x common factors =1 x 1 = 1

LCM(65,492,289) = ( 65 × 492 × 289 ) / 1

LCM(65,492,289) = 9242220 / 1

LCM(65,492,289) = 9242220


Lets's calculate GCF of 645,908,294

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9242220/1

Therefore the LCM of Fractions 65/645,492/908,289/294 is 9242220

Greatest Common Factor of 645,908,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,908,294 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 645,908,294 . The biggest common factor number is the GCF number.
So the greatest common factor 645,908,294 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 65/645, 492/908, 289/294

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 65/645, 492/908, 289/294?

Answer: LCM of Numerators as per given numbers 65/645, 492/908, 289/294 is

LCM of Numerators i.e. for 65,492,289 is 9242220

GCF of denominators i.e. for 645,908,294 is 1.

Thus, LCM of Fractions is 9242220.Finally, LCM of Fractions for 65/645, 492/908, 289/294 is 9242220.