Least Common Multiple of 9463/38, 2764/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9463/38, 2764/846 quickly i.e. 13077866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9463/38, 2764/846 is 13077866.

LCM(9463/38, 2764/846) = 13077866

LCM of 9463/38, 2764/846

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 9463/38,2764/846

Given numbers are 9463/38,2764/846

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 9463,2764

Least Common Multiple of Numerators i.e. LCM of 9463,2764 is 26155732.

GCF of Denominators means GCF of 38,846 as per the given fractions.

GCF of 38,846 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9463,2764

LCM of Fractions 9463/38,2764/846 is 13077866

Given numbers has no common factors except 1. So, there LCM is their product i.e 26155732

Least Common Multiple of 9463,2764 with GCF Formula

Least Common Multiple of 9463,2764 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 9463,2764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9463,2764) = 1

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

GCF(9463,2764) x common factors =1 x 1 = 1

LCM(9463,2764) = ( 9463 × 2764 ) / 1

LCM(9463,2764) = 26155732 / 1

LCM(9463,2764) = 26155732


Lets's calculate GCF of 38,846

2 38, 846
19, 423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26155732/2

Therefore the LCM of Fractions 9463/38,2764/846 is 13077866

Greatest Common Factor of 38,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,846 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 38,846 . The biggest common factor number is the GCF number.
So the greatest common factor 38,846 is 2.


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Frequently Asked Questions on Fractional LCM of 9463/38, 2764/846

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 9463/38, 2764/846?

Answer: LCM of Numerators as per given numbers 9463/38, 2764/846 is

LCM of Numerators i.e. for 9463,2764 is 26155732

GCF of denominators i.e. for 38,846 is 2.

Thus, LCM of Fractions is 13077866.Finally, LCM of Fractions for 9463/38, 2764/846 is 13077866.