Least Common Multiple of 716/584, 1747/4692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 716/584, 1747/4692 quickly i.e. 312713 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 716/584, 1747/4692 is 312713.

LCM(716/584, 1747/4692) = 312713

LCM of 716/584, 1747/4692

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 716/584,1747/4692

Given numbers are 716/584,1747/4692

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 716,1747

Least Common Multiple of Numerators i.e. LCM of 716,1747 is 1250852.

GCF of Denominators means GCF of 584,4692 as per the given fractions.

GCF of 584,4692 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 716,1747

LCM of Fractions 716/584,1747/4692 is 312713

Given numbers has no common factors except 1. So, there LCM is their product i.e 1250852

Least Common Multiple of 716,1747 with GCF Formula

Least Common Multiple of 716,1747 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 716,1747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,1747) = 1

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

GCF(716,1747) x common factors =1 x 1 = 1

LCM(716,1747) = ( 716 × 1747 ) / 1

LCM(716,1747) = 1250852 / 1

LCM(716,1747) = 1250852


Lets's calculate GCF of 584,4692

2 584, 4692
2 292, 2346
146, 1173

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1250852/4

Therefore the LCM of Fractions 716/584,1747/4692 is 312713

Greatest Common Factor of 584,4692 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,4692 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 4692

List of positive integer factors of 4692 that divides 4692 without a remainder.

1,2,3,4,6,12,17,23,34,46,51,68,69,92,102,138,204,276,391,782,1173,1564,2346,4692

Greatest Common Factor

We found the factors 584,4692 . The biggest common factor number is the GCF number.
So the greatest common factor 584,4692 is 4.


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 716/584, 1747/4692

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 716/584, 1747/4692?

Answer: LCM of Numerators as per given numbers 716/584, 1747/4692 is

LCM of Numerators i.e. for 716,1747 is 1250852

GCF of denominators i.e. for 584,4692 is 4.

Thus, LCM of Fractions is 312713.Finally, LCM of Fractions for 716/584, 1747/4692 is 312713.