Least Common Multiple of 7770/750, 6501/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7770/750, 6501/676 quickly i.e. 8418795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7770/750, 6501/676 is 8418795.

LCM(7770/750, 6501/676) = 8418795

LCM of 7770/750, 6501/676

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 7770/750,6501/676

Given numbers are 7770/750,6501/676

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 7770,6501

Least Common Multiple of Numerators i.e. LCM of 7770,6501 is 16837590.

GCF of Denominators means GCF of 750,676 as per the given fractions.

GCF of 750,676 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7770,6501

LCM of Fractions 7770/750,6501/676 is 8418795

3 7770, 6501
2590, 2167

∴ So the LCM of the given numbers is 3 x 2590 x 2167 = 16837590

Least Common Multiple of 7770,6501 with GCF Formula

Least Common Multiple of 7770,6501 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 7770,6501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7770,6501) = 3

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

GCF(7770,6501) x common factors =3 x 1 = 3

LCM(7770,6501) = ( 7770 × 6501 ) / 3

LCM(7770,6501) = 50512770 / 3

LCM(7770,6501) = 16837590


Lets's calculate GCF of 750,676

2 750, 676
375, 338

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16837590/2

Therefore the LCM of Fractions 7770/750,6501/676 is 8418795

Greatest Common Factor of 750,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,676 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 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 750,676 . The biggest common factor number is the GCF number.
So the greatest common factor 750,676 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 7770/750, 6501/676

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 7770/750, 6501/676?

Answer: LCM of Numerators as per given numbers 7770/750, 6501/676 is

LCM of Numerators i.e. for 7770,6501 is 16837590

GCF of denominators i.e. for 750,676 is 2.

Thus, LCM of Fractions is 8418795.Finally, LCM of Fractions for 7770/750, 6501/676 is 8418795.