Least Common Multiple of 96/50, 597/32, 345/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/50, 597/32, 345/745 quickly i.e. 2196960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/50, 597/32, 345/745 is 2196960.

LCM(96/50, 597/32, 345/745) = 2196960

LCM of 96/50, 597/32, 345/745

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 96/50,597/32,345/745

Given numbers are 96/50,597/32,345/745

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 96,597,345

Least Common Multiple of Numerators i.e. LCM of 96,597,345 is 2196960.

GCF of Denominators means GCF of 50,32,745 as per the given fractions.

GCF of 50,32,745 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,597,345

LCM of Fractions 96/50,597/32,345/745 is 2196960

3 96, 597, 345
32, 199, 115

∴ So the LCM of the given numbers is 3 x 32 x 199 x 115 = 2196960

Least Common Multiple of 96,597,345 with GCF Formula

Least Common Multiple of 96,597,345 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 96,597,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,597,345) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(96,597,345) x common factors =3 x 3 = 9

LCM(96,597,345) = ( 96 × 597 × 345 ) / 9

LCM(96,597,345) = 19772640 / 9

LCM(96,597,345) = 2196960


Lets's calculate GCF of 50,32,745

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2196960/1

Therefore the LCM of Fractions 96/50,597/32,345/745 is 2196960

Greatest Common Factor of 50,32,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,32,745 By Matching Biggest Common Factor Method

Factors of 50

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

1,2,5,10,25,50

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 50,32,745 . The biggest common factor number is the GCF number.
So the greatest common factor 50,32,745 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 96/50, 597/32, 345/745

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 96/50, 597/32, 345/745?

Answer: LCM of Numerators as per given numbers 96/50, 597/32, 345/745 is

LCM of Numerators i.e. for 96,597,345 is 2196960

GCF of denominators i.e. for 50,32,745 is 1.

Thus, LCM of Fractions is 2196960.Finally, LCM of Fractions for 96/50, 597/32, 345/745 is 2196960.