Least Common Multiple of 6616/657, 6767/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6616/657, 6767/960 quickly i.e. 44770472/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6616/657, 6767/960 is 44770472/3.

LCM(6616/657, 6767/960) = 44770472/3

LCM of 6616/657, 6767/960

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 6616/657,6767/960

Given numbers are 6616/657,6767/960

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 6616,6767

Least Common Multiple of Numerators i.e. LCM of 6616,6767 is 44770472.

GCF of Denominators means GCF of 657,960 as per the given fractions.

GCF of 657,960 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6616,6767

LCM of Fractions 6616/657,6767/960 is 44770472/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 44770472

Least Common Multiple of 6616,6767 with GCF Formula

Least Common Multiple of 6616,6767 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 6616,6767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6616,6767) = 1

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

GCF(6616,6767) x common factors =1 x 1 = 1

LCM(6616,6767) = ( 6616 × 6767 ) / 1

LCM(6616,6767) = 44770472 / 1

LCM(6616,6767) = 44770472


Lets's calculate GCF of 657,960

3 657, 960
219, 320

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44770472/3

Therefore the LCM of Fractions 6616/657,6767/960 is 44770472/3

Greatest Common Factor of 657,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,960 By Matching Biggest Common Factor Method

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 657,960 . The biggest common factor number is the GCF number.
So the greatest common factor 657,960 is 3.


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 6616/657, 6767/960

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 6616/657, 6767/960?

Answer: LCM of Numerators as per given numbers 6616/657, 6767/960 is

LCM of Numerators i.e. for 6616,6767 is 44770472

GCF of denominators i.e. for 657,960 is 3.

Thus, LCM of Fractions is 44770472/3.Finally, LCM of Fractions for 6616/657, 6767/960 is 44770472/3.