Least Common Multiple of 5925/524, 9269/5586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5925/524, 9269/5586 quickly i.e. 54918825/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5925/524, 9269/5586 is 54918825/2.

LCM(5925/524, 9269/5586) = 54918825/2

LCM of 5925/524, 9269/5586

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 5925/524,9269/5586

Given numbers are 5925/524,9269/5586

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 5925,9269

Least Common Multiple of Numerators i.e. LCM of 5925,9269 is 54918825.

GCF of Denominators means GCF of 524,5586 as per the given fractions.

GCF of 524,5586 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5925,9269

LCM of Fractions 5925/524,9269/5586 is 54918825/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 54918825

Least Common Multiple of 5925,9269 with GCF Formula

Least Common Multiple of 5925,9269 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 5925,9269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5925,9269) = 1

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

GCF(5925,9269) x common factors =1 x 1 = 1

LCM(5925,9269) = ( 5925 × 9269 ) / 1

LCM(5925,9269) = 54918825 / 1

LCM(5925,9269) = 54918825


Lets's calculate GCF of 524,5586

2 524, 5586
262, 2793

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54918825/2

Therefore the LCM of Fractions 5925/524,9269/5586 is 54918825/2

Greatest Common Factor of 524,5586 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,5586 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 5586

List of positive integer factors of 5586 that divides 5586 without a remainder.

1,2,3,6,7,14,19,21,38,42,49,57,98,114,133,147,266,294,399,798,931,1862,2793,5586

Greatest Common Factor

We found the factors 524,5586 . The biggest common factor number is the GCF number.
So the greatest common factor 524,5586 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 5925/524, 9269/5586

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 5925/524, 9269/5586?

Answer: LCM of Numerators as per given numbers 5925/524, 9269/5586 is

LCM of Numerators i.e. for 5925,9269 is 54918825

GCF of denominators i.e. for 524,5586 is 2.

Thus, LCM of Fractions is 54918825/2.Finally, LCM of Fractions for 5925/524, 9269/5586 is 54918825/2.