Least Common Multiple of 613/96, 704/84, 343/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 613/96, 704/84, 343/754 quickly i.e. 74011168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 613/96, 704/84, 343/754 is 74011168.

LCM(613/96, 704/84, 343/754) = 74011168

LCM of 613/96, 704/84, 343/754

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 613/96,704/84,343/754

Given numbers are 613/96,704/84,343/754

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 613,704,343

Least Common Multiple of Numerators i.e. LCM of 613,704,343 is 148022336.

GCF of Denominators means GCF of 96,84,754 as per the given fractions.

GCF of 96,84,754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 613,704,343

LCM of Fractions 613/96,704/84,343/754 is 74011168

Given numbers has no common factors except 1. So, there LCM is their product i.e 148022336

Least Common Multiple of 613,704,343 with GCF Formula

Least Common Multiple of 613,704,343 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 613,704,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(613,704,343) = 1

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

GCF(613,704,343) x common factors =1 x 1 = 1

LCM(613,704,343) = ( 613 × 704 × 343 ) / 1

LCM(613,704,343) = 148022336 / 1

LCM(613,704,343) = 148022336


Lets's calculate GCF of 96,84,754

2 96, 84, 754
48, 42, 377

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148022336/2

Therefore the LCM of Fractions 613/96,704/84,343/754 is 74011168

Greatest Common Factor of 96,84,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,84,754 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 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 96,84,754 . The biggest common factor number is the GCF number.
So the greatest common factor 96,84,754 is 2.


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 613/96, 704/84, 343/754

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 613/96, 704/84, 343/754?

Answer: LCM of Numerators as per given numbers 613/96, 704/84, 343/754 is

LCM of Numerators i.e. for 613,704,343 is 148022336

GCF of denominators i.e. for 96,84,754 is 2.

Thus, LCM of Fractions is 74011168.Finally, LCM of Fractions for 613/96, 704/84, 343/754 is 74011168.