Least Common Multiple of 5128/56, 9932/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5128/56, 9932/466 quickly i.e. 6366412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5128/56, 9932/466 is 6366412.

LCM(5128/56, 9932/466) = 6366412

LCM of 5128/56, 9932/466

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 5128/56,9932/466

Given numbers are 5128/56,9932/466

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 5128,9932

Least Common Multiple of Numerators i.e. LCM of 5128,9932 is 12732824.

GCF of Denominators means GCF of 56,466 as per the given fractions.

GCF of 56,466 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5128,9932

LCM of Fractions 5128/56,9932/466 is 6366412

2 5128, 9932
2 2564, 4966
1282, 2483

∴ So the LCM of the given numbers is 2 x 2 x 1282 x 2483 = 12732824

Least Common Multiple of 5128,9932 with GCF Formula

Least Common Multiple of 5128,9932 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 5128,9932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5128,9932) = 4

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

GCF(5128,9932) x common factors =4 x 1 = 4

LCM(5128,9932) = ( 5128 × 9932 ) / 4

LCM(5128,9932) = 50931296 / 4

LCM(5128,9932) = 12732824


Lets's calculate GCF of 56,466

2 56, 466
28, 233

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12732824/2

Therefore the LCM of Fractions 5128/56,9932/466 is 6366412

Greatest Common Factor of 56,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,466 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 56,466 . The biggest common factor number is the GCF number.
So the greatest common factor 56,466 is 2.


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 5128/56, 9932/466

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 5128/56, 9932/466?

Answer: LCM of Numerators as per given numbers 5128/56, 9932/466 is

LCM of Numerators i.e. for 5128,9932 is 12732824

GCF of denominators i.e. for 56,466 is 2.

Thus, LCM of Fractions is 6366412.Finally, LCM of Fractions for 5128/56, 9932/466 is 6366412.