Least Common Multiple of 26/372, 2979/4590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/372, 2979/4590 quickly i.e. 12909 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/372, 2979/4590 is 12909.

LCM(26/372, 2979/4590) = 12909

LCM of 26/372, 2979/4590

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 26/372,2979/4590

Given numbers are 26/372,2979/4590

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 26,2979

Least Common Multiple of Numerators i.e. LCM of 26,2979 is 77454.

GCF of Denominators means GCF of 372,4590 as per the given fractions.

GCF of 372,4590 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,2979

LCM of Fractions 26/372,2979/4590 is 12909

Given numbers has no common factors except 1. So, there LCM is their product i.e 77454

Least Common Multiple of 26,2979 with GCF Formula

Least Common Multiple of 26,2979 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 26,2979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,2979) = 1

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

GCF(26,2979) x common factors =1 x 1 = 1

LCM(26,2979) = ( 26 × 2979 ) / 1

LCM(26,2979) = 77454 / 1

LCM(26,2979) = 77454


Lets's calculate GCF of 372,4590

2 372, 4590
3 186, 2295
62, 765

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77454/6

Therefore the LCM of Fractions 26/372,2979/4590 is 12909

Greatest Common Factor of 372,4590 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,4590 By Matching Biggest Common Factor Method

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 4590

List of positive integer factors of 4590 that divides 4590 without a remainder.

1,2,3,5,6,9,10,15,17,18,27,30,34,45,51,54,85,90,102,135,153,170,255,270,306,459,510,765,918,1530,2295,4590

Greatest Common Factor

We found the factors 372,4590 . The biggest common factor number is the GCF number.
So the greatest common factor 372,4590 is 6.


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 26/372, 2979/4590

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 26/372, 2979/4590?

Answer: LCM of Numerators as per given numbers 26/372, 2979/4590 is

LCM of Numerators i.e. for 26,2979 is 77454

GCF of denominators i.e. for 372,4590 is 6.

Thus, LCM of Fractions is 12909.Finally, LCM of Fractions for 26/372, 2979/4590 is 12909.