Least Common Multiple of 716/423, 7151/3713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 716/423, 7151/3713 quickly i.e. 5120116/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 716/423, 7151/3713 is 5120116/47.

LCM(716/423, 7151/3713) = 5120116/47

LCM of 716/423, 7151/3713

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 716/423,7151/3713

Given numbers are 716/423,7151/3713

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 716,7151

Least Common Multiple of Numerators i.e. LCM of 716,7151 is 5120116.

GCF of Denominators means GCF of 423,3713 as per the given fractions.

GCF of 423,3713 is 47 as it is the largest common factor for these numbers.

Lets's calculate LCM of 716,7151

LCM of Fractions 716/423,7151/3713 is 5120116/47

Given numbers has no common factors except 1. So, there LCM is their product i.e 5120116

Least Common Multiple of 716,7151 with GCF Formula

Least Common Multiple of 716,7151 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 716,7151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,7151) = 1

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

GCF(716,7151) x common factors =1 x 1 = 1

LCM(716,7151) = ( 716 × 7151 ) / 1

LCM(716,7151) = 5120116 / 1

LCM(716,7151) = 5120116


Lets's calculate GCF of 423,3713

47 423, 3713
9, 79

∴ So the GCF of the given numbers is 47 = 47

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5120116/47

Therefore the LCM of Fractions 716/423,7151/3713 is 5120116/47

Greatest Common Factor of 423,3713 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,3713 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 3713

List of positive integer factors of 3713 that divides 3713 without a remainder.

1,47,79,3713

Greatest Common Factor

We found the factors 423,3713 . The biggest common factor number is the GCF number.
So the greatest common factor 423,3713 is 47.


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 716/423, 7151/3713

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 716/423, 7151/3713?

Answer: LCM of Numerators as per given numbers 716/423, 7151/3713 is

LCM of Numerators i.e. for 716,7151 is 5120116

GCF of denominators i.e. for 423,3713 is 47.

Thus, LCM of Fractions is 5120116/47.Finally, LCM of Fractions for 716/423, 7151/3713 is 5120116/47.