Least Common Multiple of 5566/645, 4970/9245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5566/645, 4970/9245 quickly i.e. 13831510/215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5566/645, 4970/9245 is 13831510/215.

LCM(5566/645, 4970/9245) = 13831510/215

LCM of 5566/645, 4970/9245

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 5566/645,4970/9245

Given numbers are 5566/645,4970/9245

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 5566,4970

Least Common Multiple of Numerators i.e. LCM of 5566,4970 is 13831510.

GCF of Denominators means GCF of 645,9245 as per the given fractions.

GCF of 645,9245 is 215 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5566,4970

LCM of Fractions 5566/645,4970/9245 is 13831510/215

2 5566, 4970
2783, 2485

∴ So the LCM of the given numbers is 2 x 2783 x 2485 = 13831510

Least Common Multiple of 5566,4970 with GCF Formula

Least Common Multiple of 5566,4970 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 5566,4970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5566,4970) = 2

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

GCF(5566,4970) x common factors =2 x 1 = 2

LCM(5566,4970) = ( 5566 × 4970 ) / 2

LCM(5566,4970) = 27663020 / 2

LCM(5566,4970) = 13831510


Lets's calculate GCF of 645,9245

5 645, 9245
43 129, 1849
3, 43

∴ So the GCF of the given numbers is 5 x 43 = 215

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13831510/215

Therefore the LCM of Fractions 5566/645,4970/9245 is 13831510/215

Greatest Common Factor of 645,9245 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,9245 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 9245

List of positive integer factors of 9245 that divides 9245 without a remainder.

1,5,43,215,1849,9245

Greatest Common Factor

We found the factors 645,9245 . The biggest common factor number is the GCF number.
So the greatest common factor 645,9245 is 215.


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 5566/645, 4970/9245

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 5566/645, 4970/9245?

Answer: LCM of Numerators as per given numbers 5566/645, 4970/9245 is

LCM of Numerators i.e. for 5566,4970 is 13831510

GCF of denominators i.e. for 645,9245 is 215.

Thus, LCM of Fractions is 13831510/215.Finally, LCM of Fractions for 5566/645, 4970/9245 is 13831510/215.