Least Common Multiple of 716/756, 596/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 716/756, 596/241 quickly i.e. 106684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 716/756, 596/241 is 106684.

LCM(716/756, 596/241) = 106684

LCM of 716/756, 596/241

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 716/756,596/241

Given numbers are 716/756,596/241

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 716,596

Least Common Multiple of Numerators i.e. LCM of 716,596 is 106684.

GCF of Denominators means GCF of 756,241 as per the given fractions.

GCF of 756,241 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 716,596

LCM of Fractions 716/756,596/241 is 106684

2 716, 596
2 358, 298
179, 149

∴ So the LCM of the given numbers is 2 x 2 x 179 x 149 = 106684

Least Common Multiple of 716,596 with GCF Formula

Least Common Multiple of 716,596 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 716,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,596) = 4

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

GCF(716,596) x common factors =4 x 1 = 4

LCM(716,596) = ( 716 × 596 ) / 4

LCM(716,596) = 426736 / 4

LCM(716,596) = 106684


Lets's calculate GCF of 756,241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106684/1

Therefore the LCM of Fractions 716/756,596/241 is 106684

Greatest Common Factor of 756,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,241 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Greatest Common Factor

We found the factors 756,241 . The biggest common factor number is the GCF number.
So the greatest common factor 756,241 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 716/756, 596/241

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 716/756, 596/241?

Answer: LCM of Numerators as per given numbers 716/756, 596/241 is

LCM of Numerators i.e. for 716,596 is 106684

GCF of denominators i.e. for 756,241 is 1.

Thus, LCM of Fractions is 106684.Finally, LCM of Fractions for 716/756, 596/241 is 106684.