Least Common Multiple of 746/963, 5128/4869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 746/963, 5128/4869 quickly i.e. 1912744/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/963, 5128/4869 is 1912744/9.

LCM(746/963, 5128/4869) = 1912744/9

LCM of 746/963, 5128/4869

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 746/963,5128/4869

Given numbers are 746/963,5128/4869

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 746,5128

Least Common Multiple of Numerators i.e. LCM of 746,5128 is 1912744.

GCF of Denominators means GCF of 963,4869 as per the given fractions.

GCF of 963,4869 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,5128

LCM of Fractions 746/963,5128/4869 is 1912744/9

2 746, 5128
373, 2564

∴ So the LCM of the given numbers is 2 x 373 x 2564 = 1912744

Least Common Multiple of 746,5128 with GCF Formula

Least Common Multiple of 746,5128 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 746,5128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,5128) = 2

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

GCF(746,5128) x common factors =2 x 1 = 2

LCM(746,5128) = ( 746 × 5128 ) / 2

LCM(746,5128) = 3825488 / 2

LCM(746,5128) = 1912744


Lets's calculate GCF of 963,4869

3 963, 4869
3 321, 1623
107, 541

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1912744/9

Therefore the LCM of Fractions 746/963,5128/4869 is 1912744/9

Greatest Common Factor of 963,4869 By Matching Biggest Common Factor Method

Greatest Common Factor of 963,4869 By Matching Biggest Common Factor Method

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 4869

List of positive integer factors of 4869 that divides 4869 without a remainder.

1,3,9,541,1623,4869

Greatest Common Factor

We found the factors 963,4869 . The biggest common factor number is the GCF number.
So the greatest common factor 963,4869 is 9.


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 746/963, 5128/4869

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 746/963, 5128/4869?

Answer: LCM of Numerators as per given numbers 746/963, 5128/4869 is

LCM of Numerators i.e. for 746,5128 is 1912744

GCF of denominators i.e. for 963,4869 is 9.

Thus, LCM of Fractions is 1912744/9.Finally, LCM of Fractions for 746/963, 5128/4869 is 1912744/9.