Least Common Multiple of 30/766, 3263/5132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/766, 3263/5132 quickly i.e. 48945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/766, 3263/5132 is 48945.

LCM(30/766, 3263/5132) = 48945

LCM of 30/766, 3263/5132

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 30/766,3263/5132

Given numbers are 30/766,3263/5132

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 30,3263

Least Common Multiple of Numerators i.e. LCM of 30,3263 is 97890.

GCF of Denominators means GCF of 766,5132 as per the given fractions.

GCF of 766,5132 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,3263

LCM of Fractions 30/766,3263/5132 is 48945

Given numbers has no common factors except 1. So, there LCM is their product i.e 97890

Least Common Multiple of 30,3263 with GCF Formula

Least Common Multiple of 30,3263 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 30,3263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,3263) = 1

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

GCF(30,3263) x common factors =1 x 1 = 1

LCM(30,3263) = ( 30 × 3263 ) / 1

LCM(30,3263) = 97890 / 1

LCM(30,3263) = 97890


Lets's calculate GCF of 766,5132

2 766, 5132
383, 2566

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97890/2

Therefore the LCM of Fractions 30/766,3263/5132 is 48945

Greatest Common Factor of 766,5132 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,5132 By Matching Biggest Common Factor Method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 5132

List of positive integer factors of 5132 that divides 5132 without a remainder.

1,2,4,1283,2566,5132

Greatest Common Factor

We found the factors 766,5132 . The biggest common factor number is the GCF number.
So the greatest common factor 766,5132 is 2.


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 30/766, 3263/5132

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 30/766, 3263/5132?

Answer: LCM of Numerators as per given numbers 30/766, 3263/5132 is

LCM of Numerators i.e. for 30,3263 is 97890

GCF of denominators i.e. for 766,5132 is 2.

Thus, LCM of Fractions is 48945.Finally, LCM of Fractions for 30/766, 3263/5132 is 48945.