Least Common Multiple of 6780/758, 2748/9934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6780/758, 2748/9934 quickly i.e. 776310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6780/758, 2748/9934 is 776310.

LCM(6780/758, 2748/9934) = 776310

LCM of 6780/758, 2748/9934

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 6780/758,2748/9934

Given numbers are 6780/758,2748/9934

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 6780,2748

Least Common Multiple of Numerators i.e. LCM of 6780,2748 is 1552620.

GCF of Denominators means GCF of 758,9934 as per the given fractions.

GCF of 758,9934 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6780,2748

LCM of Fractions 6780/758,2748/9934 is 776310

2 6780, 2748
2 3390, 1374
3 1695, 687
565, 229

∴ So the LCM of the given numbers is 2 x 2 x 3 x 565 x 229 = 1552620

Least Common Multiple of 6780,2748 with GCF Formula

Least Common Multiple of 6780,2748 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 6780,2748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6780,2748) = 12

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

GCF(6780,2748) x common factors =12 x 1 = 12

LCM(6780,2748) = ( 6780 × 2748 ) / 12

LCM(6780,2748) = 18631440 / 12

LCM(6780,2748) = 1552620


Lets's calculate GCF of 758,9934

2 758, 9934
379, 4967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1552620/2

Therefore the LCM of Fractions 6780/758,2748/9934 is 776310

Greatest Common Factor of 758,9934 By Matching Biggest Common Factor Method

Greatest Common Factor of 758,9934 By Matching Biggest Common Factor Method

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 9934

List of positive integer factors of 9934 that divides 9934 without a remainder.

1,2,4967,9934

Greatest Common Factor

We found the factors 758,9934 . The biggest common factor number is the GCF number.
So the greatest common factor 758,9934 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 6780/758, 2748/9934

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 6780/758, 2748/9934?

Answer: LCM of Numerators as per given numbers 6780/758, 2748/9934 is

LCM of Numerators i.e. for 6780,2748 is 1552620

GCF of denominators i.e. for 758,9934 is 2.

Thus, LCM of Fractions is 776310.Finally, LCM of Fractions for 6780/758, 2748/9934 is 776310.