Least Common Multiple of 4871/315, 9361/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4871/315, 9361/922 quickly i.e. 45597431 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4871/315, 9361/922 is 45597431.

LCM(4871/315, 9361/922) = 45597431

LCM of 4871/315, 9361/922

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 4871/315,9361/922

Given numbers are 4871/315,9361/922

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 4871,9361

Least Common Multiple of Numerators i.e. LCM of 4871,9361 is 45597431.

GCF of Denominators means GCF of 315,922 as per the given fractions.

GCF of 315,922 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4871,9361

LCM of Fractions 4871/315,9361/922 is 45597431

Given numbers has no common factors except 1. So, there LCM is their product i.e 45597431

Least Common Multiple of 4871,9361 with GCF Formula

Least Common Multiple of 4871,9361 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 4871,9361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4871,9361) = 1

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

GCF(4871,9361) x common factors =1 x 1 = 1

LCM(4871,9361) = ( 4871 × 9361 ) / 1

LCM(4871,9361) = 45597431 / 1

LCM(4871,9361) = 45597431


Lets's calculate GCF of 315,922

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45597431/1

Therefore the LCM of Fractions 4871/315,9361/922 is 45597431

Greatest Common Factor of 315,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,922 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 315,922 . The biggest common factor number is the GCF number.
So the greatest common factor 315,922 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 4871/315, 9361/922

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 4871/315, 9361/922?

Answer: LCM of Numerators as per given numbers 4871/315, 9361/922 is

LCM of Numerators i.e. for 4871,9361 is 45597431

GCF of denominators i.e. for 315,922 is 1.

Thus, LCM of Fractions is 45597431.Finally, LCM of Fractions for 4871/315, 9361/922 is 45597431.