Least Common Multiple of 315/58, 121/4541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/58, 121/4541 quickly i.e. 38115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/58, 121/4541 is 38115.

LCM(315/58, 121/4541) = 38115

LCM of 315/58, 121/4541

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 315/58,121/4541

Given numbers are 315/58,121/4541

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 315,121

Least Common Multiple of Numerators i.e. LCM of 315,121 is 38115.

GCF of Denominators means GCF of 58,4541 as per the given fractions.

GCF of 58,4541 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,121

LCM of Fractions 315/58,121/4541 is 38115

Given numbers has no common factors except 1. So, there LCM is their product i.e 38115

Least Common Multiple of 315,121 with GCF Formula

Least Common Multiple of 315,121 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 315,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,121) = 1

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

GCF(315,121) x common factors =1 x 1 = 1

LCM(315,121) = ( 315 × 121 ) / 1

LCM(315,121) = 38115 / 1

LCM(315,121) = 38115


Lets's calculate GCF of 58,4541

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38115/1

Therefore the LCM of Fractions 315/58,121/4541 is 38115

Greatest Common Factor of 58,4541 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,4541 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 4541

List of positive integer factors of 4541 that divides 4541 without a remainder.

1,19,239,4541

Greatest Common Factor

We found the factors 58,4541 . The biggest common factor number is the GCF number.
So the greatest common factor 58,4541 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 315/58, 121/4541

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 315/58, 121/4541?

Answer: LCM of Numerators as per given numbers 315/58, 121/4541 is

LCM of Numerators i.e. for 315,121 is 38115

GCF of denominators i.e. for 58,4541 is 1.

Thus, LCM of Fractions is 38115.Finally, LCM of Fractions for 315/58, 121/4541 is 38115.