Least Common Multiple of 97/99, 42/21, 79/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/99, 42/21, 79/426 quickly i.e. 107282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/99, 42/21, 79/426 is 107282.

LCM(97/99, 42/21, 79/426) = 107282

LCM of 97/99, 42/21, 79/426

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 97/99,42/21,79/426

Given numbers are 97/99,42/21,79/426

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 97,42,79

Least Common Multiple of Numerators i.e. LCM of 97,42,79 is 321846.

GCF of Denominators means GCF of 99,21,426 as per the given fractions.

GCF of 99,21,426 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,42,79

LCM of Fractions 97/99,42/21,79/426 is 107282

Given numbers has no common factors except 1. So, there LCM is their product i.e 321846

Least Common Multiple of 97,42,79 with GCF Formula

Least Common Multiple of 97,42,79 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 97,42,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,42,79) = 1

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

GCF(97,42,79) x common factors =1 x 1 = 1

LCM(97,42,79) = ( 97 × 42 × 79 ) / 1

LCM(97,42,79) = 321846 / 1

LCM(97,42,79) = 321846


Lets's calculate GCF of 99,21,426

3 99, 21, 426
33, 7, 142

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 321846/3

Therefore the LCM of Fractions 97/99,42/21,79/426 is 107282

Greatest Common Factor of 99,21,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,21,426 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 99,21,426 . The biggest common factor number is the GCF number.
So the greatest common factor 99,21,426 is 3.


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 97/99, 42/21, 79/426

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 97/99, 42/21, 79/426?

Answer: LCM of Numerators as per given numbers 97/99, 42/21, 79/426 is

LCM of Numerators i.e. for 97,42,79 is 321846

GCF of denominators i.e. for 99,21,426 is 3.

Thus, LCM of Fractions is 107282.Finally, LCM of Fractions for 97/99, 42/21, 79/426 is 107282.