Least Common Multiple of 7476/676, 2778/9916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7476/676, 2778/9916 quickly i.e. 865347 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7476/676, 2778/9916 is 865347.

LCM(7476/676, 2778/9916) = 865347

LCM of 7476/676, 2778/9916

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 7476/676,2778/9916

Given numbers are 7476/676,2778/9916

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 7476,2778

Least Common Multiple of Numerators i.e. LCM of 7476,2778 is 3461388.

GCF of Denominators means GCF of 676,9916 as per the given fractions.

GCF of 676,9916 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7476,2778

LCM of Fractions 7476/676,2778/9916 is 865347

2 7476, 2778
3 3738, 1389
1246, 463

∴ So the LCM of the given numbers is 2 x 3 x 1246 x 463 = 3461388

Least Common Multiple of 7476,2778 with GCF Formula

Least Common Multiple of 7476,2778 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 7476,2778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7476,2778) = 6

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

GCF(7476,2778) x common factors =6 x 1 = 6

LCM(7476,2778) = ( 7476 × 2778 ) / 6

LCM(7476,2778) = 20768328 / 6

LCM(7476,2778) = 3461388


Lets's calculate GCF of 676,9916

2 676, 9916
2 338, 4958
169, 2479

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3461388/4

Therefore the LCM of Fractions 7476/676,2778/9916 is 865347

Greatest Common Factor of 676,9916 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,9916 By Matching Biggest Common Factor Method

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

Factors of 9916

List of positive integer factors of 9916 that divides 9916 without a remainder.

1,2,4,37,67,74,134,148,268,2479,4958,9916

Greatest Common Factor

We found the factors 676,9916 . The biggest common factor number is the GCF number.
So the greatest common factor 676,9916 is 4.


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 7476/676, 2778/9916

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 7476/676, 2778/9916?

Answer: LCM of Numerators as per given numbers 7476/676, 2778/9916 is

LCM of Numerators i.e. for 7476,2778 is 3461388

GCF of denominators i.e. for 676,9916 is 4.

Thus, LCM of Fractions is 865347.Finally, LCM of Fractions for 7476/676, 2778/9916 is 865347.