Least Common Multiple of 61/59, 79/491, 906/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/59, 79/491, 906/369 quickly i.e. 4366014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/59, 79/491, 906/369 is 4366014.

LCM(61/59, 79/491, 906/369) = 4366014

LCM of 61/59, 79/491, 906/369

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 61/59,79/491,906/369

Given numbers are 61/59,79/491,906/369

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 61,79,906

Least Common Multiple of Numerators i.e. LCM of 61,79,906 is 4366014.

GCF of Denominators means GCF of 59,491,369 as per the given fractions.

GCF of 59,491,369 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,79,906

LCM of Fractions 61/59,79/491,906/369 is 4366014

Given numbers has no common factors except 1. So, there LCM is their product i.e 4366014

Least Common Multiple of 61,79,906 with GCF Formula

Least Common Multiple of 61,79,906 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 61,79,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,79,906) = 1

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

GCF(61,79,906) x common factors =1 x 1 = 1

LCM(61,79,906) = ( 61 × 79 × 906 ) / 1

LCM(61,79,906) = 4366014 / 1

LCM(61,79,906) = 4366014


Lets's calculate GCF of 59,491,369

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4366014/1

Therefore the LCM of Fractions 61/59,79/491,906/369 is 4366014

Greatest Common Factor of 59,491,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,491,369 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors 59,491,369 . The biggest common factor number is the GCF number.
So the greatest common factor 59,491,369 is 1.


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 61/59, 79/491, 906/369

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 61/59, 79/491, 906/369?

Answer: LCM of Numerators as per given numbers 61/59, 79/491, 906/369 is

LCM of Numerators i.e. for 61,79,906 is 4366014

GCF of denominators i.e. for 59,491,369 is 1.

Thus, LCM of Fractions is 4366014.Finally, LCM of Fractions for 61/59, 79/491, 906/369 is 4366014.