Least Common Multiple of 26/420, 94/996, 331/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/420, 94/996, 331/396 quickly i.e. 404482/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/420, 94/996, 331/396 is 404482/12.

LCM(26/420, 94/996, 331/396) = 404482/12

LCM of 26/420, 94/996, 331/396

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 26/420,94/996,331/396

Given numbers are 26/420,94/996,331/396

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 26,94,331

Least Common Multiple of Numerators i.e. LCM of 26,94,331 is 404482.

GCF of Denominators means GCF of 420,996,396 as per the given fractions.

GCF of 420,996,396 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,94,331

LCM of Fractions 26/420,94/996,331/396 is 404482/12

2 26, 94, 331
13, 47, 331

∴ So the LCM of the given numbers is 2 x 13 x 47 x 331 = 404482

Least Common Multiple of 26,94,331 with GCF Formula

Least Common Multiple of 26,94,331 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 26,94,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,94,331) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(26,94,331) x common factors =1 x 2 = 2

LCM(26,94,331) = ( 26 × 94 × 331 ) / 2

LCM(26,94,331) = 808964 / 2

LCM(26,94,331) = 404482


Lets's calculate GCF of 420,996,396

2 420, 996, 396
2 210, 498, 198
3 105, 249, 99
35, 83, 33

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 404482/12

Therefore the LCM of Fractions 26/420,94/996,331/396 is 404482/12

Greatest Common Factor of 420,996,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,996,396 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 420,996,396 . The biggest common factor number is the GCF number.
So the greatest common factor 420,996,396 is 12.


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 26/420, 94/996, 331/396

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 26/420, 94/996, 331/396?

Answer: LCM of Numerators as per given numbers 26/420, 94/996, 331/396 is

LCM of Numerators i.e. for 26,94,331 is 404482

GCF of denominators i.e. for 420,996,396 is 12.

Thus, LCM of Fractions is 404482/12.Finally, LCM of Fractions for 26/420, 94/996, 331/396 is 404482/12.