Least Common Multiple of 313/49, 301/7522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 313/49, 301/7522 quickly i.e. 94213 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/49, 301/7522 is 94213.

LCM(313/49, 301/7522) = 94213

LCM of 313/49, 301/7522

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 313/49,301/7522

Given numbers are 313/49,301/7522

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 313,301

Least Common Multiple of Numerators i.e. LCM of 313,301 is 94213.

GCF of Denominators means GCF of 49,7522 as per the given fractions.

GCF of 49,7522 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,301

LCM of Fractions 313/49,301/7522 is 94213

Given numbers has no common factors except 1. So, there LCM is their product i.e 94213

Least Common Multiple of 313,301 with GCF Formula

Least Common Multiple of 313,301 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 313,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,301) = 1

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

GCF(313,301) x common factors =1 x 1 = 1

LCM(313,301) = ( 313 × 301 ) / 1

LCM(313,301) = 94213 / 1

LCM(313,301) = 94213


Lets's calculate GCF of 49,7522

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94213/1

Therefore the LCM of Fractions 313/49,301/7522 is 94213

Greatest Common Factor of 49,7522 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,7522 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 7522

List of positive integer factors of 7522 that divides 7522 without a remainder.

1,2,3761,7522

Greatest Common Factor

We found the factors 49,7522 . The biggest common factor number is the GCF number.
So the greatest common factor 49,7522 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 313/49, 301/7522

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 313/49, 301/7522?

Answer: LCM of Numerators as per given numbers 313/49, 301/7522 is

LCM of Numerators i.e. for 313,301 is 94213

GCF of denominators i.e. for 49,7522 is 1.

Thus, LCM of Fractions is 94213.Finally, LCM of Fractions for 313/49, 301/7522 is 94213.