Least Common Multiple of 9313/260, 5401/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9313/260, 5401/342 quickly i.e. 50299513/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9313/260, 5401/342 is 50299513/2.

LCM(9313/260, 5401/342) = 50299513/2

LCM of 9313/260, 5401/342

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 9313/260,5401/342

Given numbers are 9313/260,5401/342

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 9313,5401

Least Common Multiple of Numerators i.e. LCM of 9313,5401 is 50299513.

GCF of Denominators means GCF of 260,342 as per the given fractions.

GCF of 260,342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9313,5401

LCM of Fractions 9313/260,5401/342 is 50299513/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 50299513

Least Common Multiple of 9313,5401 with GCF Formula

Least Common Multiple of 9313,5401 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 9313,5401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9313,5401) = 1

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

GCF(9313,5401) x common factors =1 x 1 = 1

LCM(9313,5401) = ( 9313 × 5401 ) / 1

LCM(9313,5401) = 50299513 / 1

LCM(9313,5401) = 50299513


Lets's calculate GCF of 260,342

2 260, 342
130, 171

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50299513/2

Therefore the LCM of Fractions 9313/260,5401/342 is 50299513/2

Greatest Common Factor of 260,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,342 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 260,342 . The biggest common factor number is the GCF number.
So the greatest common factor 260,342 is 2.


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 9313/260, 5401/342

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 9313/260, 5401/342?

Answer: LCM of Numerators as per given numbers 9313/260, 5401/342 is

LCM of Numerators i.e. for 9313,5401 is 50299513

GCF of denominators i.e. for 260,342 is 2.

Thus, LCM of Fractions is 50299513/2.Finally, LCM of Fractions for 9313/260, 5401/342 is 50299513/2.