Least Common Multiple of 616/374, 5359/6754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 616/374, 5359/6754 quickly i.e. 150052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 616/374, 5359/6754 is 150052.

LCM(616/374, 5359/6754) = 150052

LCM of 616/374, 5359/6754

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 616/374,5359/6754

Given numbers are 616/374,5359/6754

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 616,5359

Least Common Multiple of Numerators i.e. LCM of 616,5359 is 3301144.

GCF of Denominators means GCF of 374,6754 as per the given fractions.

GCF of 374,6754 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 616,5359

LCM of Fractions 616/374,5359/6754 is 150052

Given numbers has no common factors except 1. So, there LCM is their product i.e 3301144

Least Common Multiple of 616,5359 with GCF Formula

Least Common Multiple of 616,5359 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 616,5359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,5359) = 1

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

GCF(616,5359) x common factors =1 x 1 = 1

LCM(616,5359) = ( 616 × 5359 ) / 1

LCM(616,5359) = 3301144 / 1

LCM(616,5359) = 3301144


Lets's calculate GCF of 374,6754

2 374, 6754
11 187, 3377
17, 307

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3301144/22

Therefore the LCM of Fractions 616/374,5359/6754 is 150052

Greatest Common Factor of 374,6754 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,6754 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 6754

List of positive integer factors of 6754 that divides 6754 without a remainder.

1,2,11,22,307,614,3377,6754

Greatest Common Factor

We found the factors 374,6754 . The biggest common factor number is the GCF number.
So the greatest common factor 374,6754 is 22.


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 616/374, 5359/6754

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 616/374, 5359/6754?

Answer: LCM of Numerators as per given numbers 616/374, 5359/6754 is

LCM of Numerators i.e. for 616,5359 is 3301144

GCF of denominators i.e. for 374,6754 is 22.

Thus, LCM of Fractions is 150052.Finally, LCM of Fractions for 616/374, 5359/6754 is 150052.