Least Common Multiple of 5056/413, 9530/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5056/413, 9530/772 quickly i.e. 24091840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5056/413, 9530/772 is 24091840.

LCM(5056/413, 9530/772) = 24091840

LCM of 5056/413, 9530/772

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 5056/413,9530/772

Given numbers are 5056/413,9530/772

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 5056,9530

Least Common Multiple of Numerators i.e. LCM of 5056,9530 is 24091840.

GCF of Denominators means GCF of 413,772 as per the given fractions.

GCF of 413,772 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5056,9530

LCM of Fractions 5056/413,9530/772 is 24091840

2 5056, 9530
2528, 4765

∴ So the LCM of the given numbers is 2 x 2528 x 4765 = 24091840

Least Common Multiple of 5056,9530 with GCF Formula

Least Common Multiple of 5056,9530 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 5056,9530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5056,9530) = 2

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

GCF(5056,9530) x common factors =2 x 1 = 2

LCM(5056,9530) = ( 5056 × 9530 ) / 2

LCM(5056,9530) = 48183680 / 2

LCM(5056,9530) = 24091840


Lets's calculate GCF of 413,772

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24091840/1

Therefore the LCM of Fractions 5056/413,9530/772 is 24091840

Greatest Common Factor of 413,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,772 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 772

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

1,2,4,193,386,772

Greatest Common Factor

We found the factors 413,772 . The biggest common factor number is the GCF number.
So the greatest common factor 413,772 is 1.


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 5056/413, 9530/772

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 5056/413, 9530/772?

Answer: LCM of Numerators as per given numbers 5056/413, 9530/772 is

LCM of Numerators i.e. for 5056,9530 is 24091840

GCF of denominators i.e. for 413,772 is 1.

Thus, LCM of Fractions is 24091840.Finally, LCM of Fractions for 5056/413, 9530/772 is 24091840.