Least Common Multiple of 305/371, 315/900, 793/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/371, 315/900, 793/415 quickly i.e. 249795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/371, 315/900, 793/415 is 249795.

LCM(305/371, 315/900, 793/415) = 249795

LCM of 305/371, 315/900, 793/415

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 305/371,315/900,793/415

Given numbers are 305/371,315/900,793/415

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 305,315,793

Least Common Multiple of Numerators i.e. LCM of 305,315,793 is 249795.

GCF of Denominators means GCF of 371,900,415 as per the given fractions.

GCF of 371,900,415 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,315,793

LCM of Fractions 305/371,315/900,793/415 is 249795

5 305, 315, 793
61 61, 63, 793
1, 63, 13

∴ So the LCM of the given numbers is 5 x 61 x 1 x 63 x 13 = 249795

Least Common Multiple of 305,315,793 with GCF Formula

Least Common Multiple of 305,315,793 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 305,315,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,315,793) = 1

common factors(in case of two or more numbers have common factors) = 305

GCF(305,315,793) x common factors =1 x 305 = 305

LCM(305,315,793) = ( 305 × 315 × 793 ) / 305

LCM(305,315,793) = 76187475 / 305

LCM(305,315,793) = 249795


Lets's calculate GCF of 371,900,415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249795/1

Therefore the LCM of Fractions 305/371,315/900,793/415 is 249795

Greatest Common Factor of 371,900,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,900,415 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 371,900,415 . The biggest common factor number is the GCF number.
So the greatest common factor 371,900,415 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 305/371, 315/900, 793/415

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 305/371, 315/900, 793/415?

Answer: LCM of Numerators as per given numbers 305/371, 315/900, 793/415 is

LCM of Numerators i.e. for 305,315,793 is 249795

GCF of denominators i.e. for 371,900,415 is 1.

Thus, LCM of Fractions is 249795.Finally, LCM of Fractions for 305/371, 315/900, 793/415 is 249795.