Least Common Multiple of 7468/506, 5136/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7468/506, 5136/920 quickly i.e. 9588912/46 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7468/506, 5136/920 is 9588912/46.

LCM(7468/506, 5136/920) = 9588912/46

LCM of 7468/506, 5136/920

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 7468/506,5136/920

Given numbers are 7468/506,5136/920

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 7468,5136

Least Common Multiple of Numerators i.e. LCM of 7468,5136 is 9588912.

GCF of Denominators means GCF of 506,920 as per the given fractions.

GCF of 506,920 is 46 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7468,5136

LCM of Fractions 7468/506,5136/920 is 9588912/46

2 7468, 5136
2 3734, 2568
1867, 1284

∴ So the LCM of the given numbers is 2 x 2 x 1867 x 1284 = 9588912

Least Common Multiple of 7468,5136 with GCF Formula

Least Common Multiple of 7468,5136 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 7468,5136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7468,5136) = 4

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

GCF(7468,5136) x common factors =4 x 1 = 4

LCM(7468,5136) = ( 7468 × 5136 ) / 4

LCM(7468,5136) = 38355648 / 4

LCM(7468,5136) = 9588912


Lets's calculate GCF of 506,920

2 506, 920
23 253, 460
11, 20

∴ So the GCF of the given numbers is 2 x 23 = 46

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9588912/46

Therefore the LCM of Fractions 7468/506,5136/920 is 9588912/46

Greatest Common Factor of 506,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,920 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 506,920 . The biggest common factor number is the GCF number.
So the greatest common factor 506,920 is 46.


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 7468/506, 5136/920

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 7468/506, 5136/920?

Answer: LCM of Numerators as per given numbers 7468/506, 5136/920 is

LCM of Numerators i.e. for 7468,5136 is 9588912

GCF of denominators i.e. for 506,920 is 46.

Thus, LCM of Fractions is 9588912/46.Finally, LCM of Fractions for 7468/506, 5136/920 is 9588912/46.