Least Common Multiple of 5733/716, 8739/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5733/716, 8739/995 quickly i.e. 5566743 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5733/716, 8739/995 is 5566743.

LCM(5733/716, 8739/995) = 5566743

LCM of 5733/716, 8739/995

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 5733/716,8739/995

Given numbers are 5733/716,8739/995

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 5733,8739

Least Common Multiple of Numerators i.e. LCM of 5733,8739 is 5566743.

GCF of Denominators means GCF of 716,995 as per the given fractions.

GCF of 716,995 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5733,8739

LCM of Fractions 5733/716,8739/995 is 5566743

3 5733, 8739
3 1911, 2913
637, 971

∴ So the LCM of the given numbers is 3 x 3 x 637 x 971 = 5566743

Least Common Multiple of 5733,8739 with GCF Formula

Least Common Multiple of 5733,8739 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 5733,8739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5733,8739) = 9

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

GCF(5733,8739) x common factors =9 x 1 = 9

LCM(5733,8739) = ( 5733 × 8739 ) / 9

LCM(5733,8739) = 50100687 / 9

LCM(5733,8739) = 5566743


Lets's calculate GCF of 716,995

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5566743/1

Therefore the LCM of Fractions 5733/716,8739/995 is 5566743

Greatest Common Factor of 716,995 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,995 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Greatest Common Factor

We found the factors 716,995 . The biggest common factor number is the GCF number.
So the greatest common factor 716,995 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5733/716, 8739/995

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 5733/716, 8739/995?

Answer: LCM of Numerators as per given numbers 5733/716, 8739/995 is

LCM of Numerators i.e. for 5733,8739 is 5566743

GCF of denominators i.e. for 716,995 is 1.

Thus, LCM of Fractions is 5566743.Finally, LCM of Fractions for 5733/716, 8739/995 is 5566743.