Least Common Multiple of 7708/275, 9116/6738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7708/275, 9116/6738 quickly i.e. 17566532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7708/275, 9116/6738 is 17566532.

LCM(7708/275, 9116/6738) = 17566532

LCM of 7708/275, 9116/6738

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 7708/275,9116/6738

Given numbers are 7708/275,9116/6738

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 7708,9116

Least Common Multiple of Numerators i.e. LCM of 7708,9116 is 17566532.

GCF of Denominators means GCF of 275,6738 as per the given fractions.

GCF of 275,6738 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7708,9116

LCM of Fractions 7708/275,9116/6738 is 17566532

2 7708, 9116
2 3854, 4558
1927, 2279

∴ So the LCM of the given numbers is 2 x 2 x 1927 x 2279 = 17566532

Least Common Multiple of 7708,9116 with GCF Formula

Least Common Multiple of 7708,9116 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 7708,9116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7708,9116) = 4

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

GCF(7708,9116) x common factors =4 x 1 = 4

LCM(7708,9116) = ( 7708 × 9116 ) / 4

LCM(7708,9116) = 70266128 / 4

LCM(7708,9116) = 17566532


Lets's calculate GCF of 275,6738

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17566532/1

Therefore the LCM of Fractions 7708/275,9116/6738 is 17566532

Greatest Common Factor of 275,6738 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,6738 By Matching Biggest Common Factor Method

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 6738

List of positive integer factors of 6738 that divides 6738 without a remainder.

1,2,3,6,1123,2246,3369,6738

Greatest Common Factor

We found the factors 275,6738 . The biggest common factor number is the GCF number.
So the greatest common factor 275,6738 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 7708/275, 9116/6738

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 7708/275, 9116/6738?

Answer: LCM of Numerators as per given numbers 7708/275, 9116/6738 is

LCM of Numerators i.e. for 7708,9116 is 17566532

GCF of denominators i.e. for 275,6738 is 1.

Thus, LCM of Fractions is 17566532.Finally, LCM of Fractions for 7708/275, 9116/6738 is 17566532.