Least Common Multiple of 43/772, 8993/4976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 43/772, 8993/4976 quickly i.e. 386699/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/772, 8993/4976 is 386699/4.

LCM(43/772, 8993/4976) = 386699/4

LCM of 43/772, 8993/4976

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 43/772,8993/4976

Given numbers are 43/772,8993/4976

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 43,8993

Least Common Multiple of Numerators i.e. LCM of 43,8993 is 386699.

GCF of Denominators means GCF of 772,4976 as per the given fractions.

GCF of 772,4976 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,8993

LCM of Fractions 43/772,8993/4976 is 386699/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 386699

Least Common Multiple of 43,8993 with GCF Formula

Least Common Multiple of 43,8993 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 43,8993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,8993) = 1

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

GCF(43,8993) x common factors =1 x 1 = 1

LCM(43,8993) = ( 43 × 8993 ) / 1

LCM(43,8993) = 386699 / 1

LCM(43,8993) = 386699


Lets's calculate GCF of 772,4976

2 772, 4976
2 386, 2488
193, 1244

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 386699/4

Therefore the LCM of Fractions 43/772,8993/4976 is 386699/4

Greatest Common Factor of 772,4976 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,4976 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 4976

List of positive integer factors of 4976 that divides 4976 without a remainder.

1,2,4,8,16,311,622,1244,2488,4976

Greatest Common Factor

We found the factors 772,4976 . The biggest common factor number is the GCF number.
So the greatest common factor 772,4976 is 4.


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Frequently Asked Questions on Fractional LCM of 43/772, 8993/4976

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 43/772, 8993/4976?

Answer: LCM of Numerators as per given numbers 43/772, 8993/4976 is

LCM of Numerators i.e. for 43,8993 is 386699

GCF of denominators i.e. for 772,4976 is 4.

Thus, LCM of Fractions is 386699/4.Finally, LCM of Fractions for 43/772, 8993/4976 is 386699/4.