Least Common Multiple of 135/96, 172/15, 643/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 135/96, 172/15, 643/597 quickly i.e. 4976820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/96, 172/15, 643/597 is 4976820.

LCM(135/96, 172/15, 643/597) = 4976820

LCM of 135/96, 172/15, 643/597

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 135/96,172/15,643/597

Given numbers are 135/96,172/15,643/597

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 135,172,643

Least Common Multiple of Numerators i.e. LCM of 135,172,643 is 14930460.

GCF of Denominators means GCF of 96,15,597 as per the given fractions.

GCF of 96,15,597 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,172,643

LCM of Fractions 135/96,172/15,643/597 is 4976820

Given numbers has no common factors except 1. So, there LCM is their product i.e 14930460

Least Common Multiple of 135,172,643 with GCF Formula

Least Common Multiple of 135,172,643 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 135,172,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,172,643) = 1

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

GCF(135,172,643) x common factors =1 x 1 = 1

LCM(135,172,643) = ( 135 × 172 × 643 ) / 1

LCM(135,172,643) = 14930460 / 1

LCM(135,172,643) = 14930460


Lets's calculate GCF of 96,15,597

3 96, 15, 597
32, 5, 199

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14930460/3

Therefore the LCM of Fractions 135/96,172/15,643/597 is 4976820

Greatest Common Factor of 96,15,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,15,597 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 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 96,15,597 . The biggest common factor number is the GCF number.
So the greatest common factor 96,15,597 is 3.


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 135/96, 172/15, 643/597

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 135/96, 172/15, 643/597?

Answer: LCM of Numerators as per given numbers 135/96, 172/15, 643/597 is

LCM of Numerators i.e. for 135,172,643 is 14930460

GCF of denominators i.e. for 96,15,597 is 3.

Thus, LCM of Fractions is 4976820.Finally, LCM of Fractions for 135/96, 172/15, 643/597 is 4976820.