Least Common Multiple of 5116/945, 1251/8105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5116/945, 1251/8105 quickly i.e. 6400116/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5116/945, 1251/8105 is 6400116/5.

LCM(5116/945, 1251/8105) = 6400116/5

LCM of 5116/945, 1251/8105

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 5116/945,1251/8105

Given numbers are 5116/945,1251/8105

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 5116,1251

Least Common Multiple of Numerators i.e. LCM of 5116,1251 is 6400116.

GCF of Denominators means GCF of 945,8105 as per the given fractions.

GCF of 945,8105 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5116,1251

LCM of Fractions 5116/945,1251/8105 is 6400116/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 6400116

Least Common Multiple of 5116,1251 with GCF Formula

Least Common Multiple of 5116,1251 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 5116,1251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5116,1251) = 1

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

GCF(5116,1251) x common factors =1 x 1 = 1

LCM(5116,1251) = ( 5116 × 1251 ) / 1

LCM(5116,1251) = 6400116 / 1

LCM(5116,1251) = 6400116


Lets's calculate GCF of 945,8105

5 945, 8105
189, 1621

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6400116/5

Therefore the LCM of Fractions 5116/945,1251/8105 is 6400116/5

Greatest Common Factor of 945,8105 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,8105 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 8105

List of positive integer factors of 8105 that divides 8105 without a remainder.

1,5,1621,8105

Greatest Common Factor

We found the factors 945,8105 . The biggest common factor number is the GCF number.
So the greatest common factor 945,8105 is 5.


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 5116/945, 1251/8105

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 5116/945, 1251/8105?

Answer: LCM of Numerators as per given numbers 5116/945, 1251/8105 is

LCM of Numerators i.e. for 5116,1251 is 6400116

GCF of denominators i.e. for 945,8105 is 5.

Thus, LCM of Fractions is 6400116/5.Finally, LCM of Fractions for 5116/945, 1251/8105 is 6400116/5.