Least Common Multiple of 26/81, 198/14, 951/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 26/81, 198/14, 951/722 quickly i.e. 815958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/81, 198/14, 951/722 is 815958.

LCM(26/81, 198/14, 951/722) = 815958

LCM of 26/81, 198/14, 951/722

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 26/81,198/14,951/722

Given numbers are 26/81,198/14,951/722

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 26,198,951

Least Common Multiple of Numerators i.e. LCM of 26,198,951 is 815958.

GCF of Denominators means GCF of 81,14,722 as per the given fractions.

GCF of 81,14,722 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,198,951

LCM of Fractions 26/81,198/14,951/722 is 815958

2 26, 198, 951
3 13, 99, 951
13, 33, 317

∴ So the LCM of the given numbers is 2 x 3 x 13 x 33 x 317 = 815958

Least Common Multiple of 26,198,951 with GCF Formula

Least Common Multiple of 26,198,951 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 26,198,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,198,951) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(26,198,951) x common factors =1 x 6 = 6

LCM(26,198,951) = ( 26 × 198 × 951 ) / 6

LCM(26,198,951) = 4895748 / 6

LCM(26,198,951) = 815958


Lets's calculate GCF of 81,14,722

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 815958/1

Therefore the LCM of Fractions 26/81,198/14,951/722 is 815958

Greatest Common Factor of 81,14,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,14,722 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 81,14,722 . The biggest common factor number is the GCF number.
So the greatest common factor 81,14,722 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 26/81, 198/14, 951/722

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 26/81, 198/14, 951/722?

Answer: LCM of Numerators as per given numbers 26/81, 198/14, 951/722 is

LCM of Numerators i.e. for 26,198,951 is 815958

GCF of denominators i.e. for 81,14,722 is 1.

Thus, LCM of Fractions is 815958.Finally, LCM of Fractions for 26/81, 198/14, 951/722 is 815958.