Least Common Multiple of 215/49, 252/63, 561/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 215/49, 252/63, 561/565 quickly i.e. 10131660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 215/49, 252/63, 561/565 is 10131660.

LCM(215/49, 252/63, 561/565) = 10131660

LCM of 215/49, 252/63, 561/565

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 215/49,252/63,561/565

Given numbers are 215/49,252/63,561/565

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 215,252,561

Least Common Multiple of Numerators i.e. LCM of 215,252,561 is 10131660.

GCF of Denominators means GCF of 49,63,565 as per the given fractions.

GCF of 49,63,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 215,252,561

LCM of Fractions 215/49,252/63,561/565 is 10131660

3 215, 252, 561
215, 84, 187

∴ So the LCM of the given numbers is 3 x 215 x 84 x 187 = 10131660

Least Common Multiple of 215,252,561 with GCF Formula

Least Common Multiple of 215,252,561 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 215,252,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,252,561) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(215,252,561) x common factors =1 x 3 = 3

LCM(215,252,561) = ( 215 × 252 × 561 ) / 3

LCM(215,252,561) = 30394980 / 3

LCM(215,252,561) = 10131660


Lets's calculate GCF of 49,63,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10131660/1

Therefore the LCM of Fractions 215/49,252/63,561/565 is 10131660

Greatest Common Factor of 49,63,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,63,565 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 49,63,565 . The biggest common factor number is the GCF number.
So the greatest common factor 49,63,565 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 215/49, 252/63, 561/565

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 215/49, 252/63, 561/565?

Answer: LCM of Numerators as per given numbers 215/49, 252/63, 561/565 is

LCM of Numerators i.e. for 215,252,561 is 10131660

GCF of denominators i.e. for 49,63,565 is 1.

Thus, LCM of Fractions is 10131660.Finally, LCM of Fractions for 215/49, 252/63, 561/565 is 10131660.