Least Common Multiple of 575/96, 733/50, 815/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 575/96, 733/50, 815/101 quickly i.e. 68700425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 575/96, 733/50, 815/101 is 68700425.

LCM(575/96, 733/50, 815/101) = 68700425

LCM of 575/96, 733/50, 815/101

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 575/96,733/50,815/101

Given numbers are 575/96,733/50,815/101

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 575,733,815

Least Common Multiple of Numerators i.e. LCM of 575,733,815 is 68700425.

GCF of Denominators means GCF of 96,50,101 as per the given fractions.

GCF of 96,50,101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 575,733,815

LCM of Fractions 575/96,733/50,815/101 is 68700425

5 575, 733, 815
115, 733, 163

∴ So the LCM of the given numbers is 5 x 115 x 733 x 163 = 68700425

Least Common Multiple of 575,733,815 with GCF Formula

Least Common Multiple of 575,733,815 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 575,733,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,733,815) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(575,733,815) x common factors =1 x 5 = 5

LCM(575,733,815) = ( 575 × 733 × 815 ) / 5

LCM(575,733,815) = 343502125 / 5

LCM(575,733,815) = 68700425


Lets's calculate GCF of 96,50,101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68700425/1

Therefore the LCM of Fractions 575/96,733/50,815/101 is 68700425

Greatest Common Factor of 96,50,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,50,101 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 96,50,101 . The biggest common factor number is the GCF number.
So the greatest common factor 96,50,101 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 575/96, 733/50, 815/101

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 575/96, 733/50, 815/101?

Answer: LCM of Numerators as per given numbers 575/96, 733/50, 815/101 is

LCM of Numerators i.e. for 575,733,815 is 68700425

GCF of denominators i.e. for 96,50,101 is 1.

Thus, LCM of Fractions is 68700425.Finally, LCM of Fractions for 575/96, 733/50, 815/101 is 68700425.