Least Common Multiple of 5226/299, 2898/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5226/299, 2898/676 quickly i.e. 194166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5226/299, 2898/676 is 194166.

LCM(5226/299, 2898/676) = 194166

LCM of 5226/299, 2898/676

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 5226/299,2898/676

Given numbers are 5226/299,2898/676

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 5226,2898

Least Common Multiple of Numerators i.e. LCM of 5226,2898 is 2524158.

GCF of Denominators means GCF of 299,676 as per the given fractions.

GCF of 299,676 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5226,2898

LCM of Fractions 5226/299,2898/676 is 194166

2 5226, 2898
3 2613, 1449
871, 483

∴ So the LCM of the given numbers is 2 x 3 x 871 x 483 = 2524158

Least Common Multiple of 5226,2898 with GCF Formula

Least Common Multiple of 5226,2898 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 5226,2898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5226,2898) = 6

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

GCF(5226,2898) x common factors =6 x 1 = 6

LCM(5226,2898) = ( 5226 × 2898 ) / 6

LCM(5226,2898) = 15144948 / 6

LCM(5226,2898) = 2524158


Lets's calculate GCF of 299,676

13 299, 676
23, 52

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2524158/13

Therefore the LCM of Fractions 5226/299,2898/676 is 194166

Greatest Common Factor of 299,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,676 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

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 299,676 . The biggest common factor number is the GCF number.
So the greatest common factor 299,676 is 13.


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 5226/299, 2898/676

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 5226/299, 2898/676?

Answer: LCM of Numerators as per given numbers 5226/299, 2898/676 is

LCM of Numerators i.e. for 5226,2898 is 2524158

GCF of denominators i.e. for 299,676 is 13.

Thus, LCM of Fractions is 194166.Finally, LCM of Fractions for 5226/299, 2898/676 is 194166.