Least Common Multiple of 2766/750, 6479/9064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2766/750, 6479/9064 quickly i.e. 8960457 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2766/750, 6479/9064 is 8960457.

LCM(2766/750, 6479/9064) = 8960457

LCM of 2766/750, 6479/9064

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 2766/750,6479/9064

Given numbers are 2766/750,6479/9064

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 2766,6479

Least Common Multiple of Numerators i.e. LCM of 2766,6479 is 17920914.

GCF of Denominators means GCF of 750,9064 as per the given fractions.

GCF of 750,9064 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2766,6479

LCM of Fractions 2766/750,6479/9064 is 8960457

Given numbers has no common factors except 1. So, there LCM is their product i.e 17920914

Least Common Multiple of 2766,6479 with GCF Formula

Least Common Multiple of 2766,6479 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 2766,6479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2766,6479) = 1

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

GCF(2766,6479) x common factors =1 x 1 = 1

LCM(2766,6479) = ( 2766 × 6479 ) / 1

LCM(2766,6479) = 17920914 / 1

LCM(2766,6479) = 17920914


Lets's calculate GCF of 750,9064

2 750, 9064
375, 4532

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17920914/2

Therefore the LCM of Fractions 2766/750,6479/9064 is 8960457

Greatest Common Factor of 750,9064 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,9064 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 9064

List of positive integer factors of 9064 that divides 9064 without a remainder.

1,2,4,8,11,22,44,88,103,206,412,824,1133,2266,4532,9064

Greatest Common Factor

We found the factors 750,9064 . The biggest common factor number is the GCF number.
So the greatest common factor 750,9064 is 2.


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 2766/750, 6479/9064

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 2766/750, 6479/9064?

Answer: LCM of Numerators as per given numbers 2766/750, 6479/9064 is

LCM of Numerators i.e. for 2766,6479 is 17920914

GCF of denominators i.e. for 750,9064 is 2.

Thus, LCM of Fractions is 8960457.Finally, LCM of Fractions for 2766/750, 6479/9064 is 8960457.