Least Common Multiple of 617/748, 197/655, 957/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 617/748, 197/655, 957/274 quickly i.e. 116322393 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 617/748, 197/655, 957/274 is 116322393.

LCM(617/748, 197/655, 957/274) = 116322393

LCM of 617/748, 197/655, 957/274

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 617/748,197/655,957/274

Given numbers are 617/748,197/655,957/274

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 617,197,957

Least Common Multiple of Numerators i.e. LCM of 617,197,957 is 116322393.

GCF of Denominators means GCF of 748,655,274 as per the given fractions.

GCF of 748,655,274 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 617,197,957

LCM of Fractions 617/748,197/655,957/274 is 116322393

Given numbers has no common factors except 1. So, there LCM is their product i.e 116322393

Least Common Multiple of 617,197,957 with GCF Formula

Least Common Multiple of 617,197,957 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 617,197,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(617,197,957) = 1

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

GCF(617,197,957) x common factors =1 x 1 = 1

LCM(617,197,957) = ( 617 × 197 × 957 ) / 1

LCM(617,197,957) = 116322393 / 1

LCM(617,197,957) = 116322393


Lets's calculate GCF of 748,655,274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116322393/1

Therefore the LCM of Fractions 617/748,197/655,957/274 is 116322393

Greatest Common Factor of 748,655,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,655,274 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 748,655,274 . The biggest common factor number is the GCF number.
So the greatest common factor 748,655,274 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 617/748, 197/655, 957/274

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 617/748, 197/655, 957/274?

Answer: LCM of Numerators as per given numbers 617/748, 197/655, 957/274 is

LCM of Numerators i.e. for 617,197,957 is 116322393

GCF of denominators i.e. for 748,655,274 is 1.

Thus, LCM of Fractions is 116322393.Finally, LCM of Fractions for 617/748, 197/655, 957/274 is 116322393.