Least Common Multiple of 26/580, 4068/7400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/580, 4068/7400 quickly i.e. 52884/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/580, 4068/7400 is 52884/20.

LCM(26/580, 4068/7400) = 52884/20

LCM of 26/580, 4068/7400

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 26/580,4068/7400

Given numbers are 26/580,4068/7400

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 26,4068

Least Common Multiple of Numerators i.e. LCM of 26,4068 is 52884.

GCF of Denominators means GCF of 580,7400 as per the given fractions.

GCF of 580,7400 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,4068

LCM of Fractions 26/580,4068/7400 is 52884/20

2 26, 4068
13, 2034

∴ So the LCM of the given numbers is 2 x 13 x 2034 = 52884

Least Common Multiple of 26,4068 with GCF Formula

Least Common Multiple of 26,4068 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 26,4068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,4068) = 2

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

GCF(26,4068) x common factors =2 x 1 = 2

LCM(26,4068) = ( 26 × 4068 ) / 2

LCM(26,4068) = 105768 / 2

LCM(26,4068) = 52884


Lets's calculate GCF of 580,7400

2 580, 7400
2 290, 3700
5 145, 1850
29, 370

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52884/20

Therefore the LCM of Fractions 26/580,4068/7400 is 52884/20

Greatest Common Factor of 580,7400 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,7400 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 7400

List of positive integer factors of 7400 that divides 7400 without a remainder.

1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400

Greatest Common Factor

We found the factors 580,7400 . The biggest common factor number is the GCF number.
So the greatest common factor 580,7400 is 20.


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 26/580, 4068/7400

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 26/580, 4068/7400?

Answer: LCM of Numerators as per given numbers 26/580, 4068/7400 is

LCM of Numerators i.e. for 26,4068 is 52884

GCF of denominators i.e. for 580,7400 is 20.

Thus, LCM of Fractions is 52884/20.Finally, LCM of Fractions for 26/580, 4068/7400 is 52884/20.