Least Common Multiple of 51/565, 90/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/565, 90/339 quickly i.e. 1530/113 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/565, 90/339 is 1530/113.

LCM(51/565, 90/339) = 1530/113

LCM of 51/565, 90/339

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 51/565,90/339

Given numbers are 51/565,90/339

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 51,90

Least Common Multiple of Numerators i.e. LCM of 51,90 is 1530.

GCF of Denominators means GCF of 565,339 as per the given fractions.

GCF of 565,339 is 113 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,90

LCM of Fractions 51/565,90/339 is 1530/113

3 51, 90
17, 30

∴ So the LCM of the given numbers is 3 x 17 x 30 = 1530

Least Common Multiple of 51,90 with GCF Formula

Least Common Multiple of 51,90 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 51,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,90) = 3

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

GCF(51,90) x common factors =3 x 1 = 3

LCM(51,90) = ( 51 × 90 ) / 3

LCM(51,90) = 4590 / 3

LCM(51,90) = 1530


Lets's calculate GCF of 565,339

113 565, 339
5, 3

∴ So the GCF of the given numbers is 113 = 113

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1530/113

Therefore the LCM of Fractions 51/565,90/339 is 1530/113

Greatest Common Factor of 565,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,339 By Matching Biggest Common Factor Method

Factors of 565

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

1,5,113,565

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 565,339 . The biggest common factor number is the GCF number.
So the greatest common factor 565,339 is 113.


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 51/565, 90/339

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 51/565, 90/339?

Answer: LCM of Numerators as per given numbers 51/565, 90/339 is

LCM of Numerators i.e. for 51,90 is 1530

GCF of denominators i.e. for 565,339 is 113.

Thus, LCM of Fractions is 1530/113.Finally, LCM of Fractions for 51/565, 90/339 is 1530/113.