Least Common Multiple of 5627/504, 9281/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5627/504, 9281/945 quickly i.e. 52224187/63 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5627/504, 9281/945 is 52224187/63.

LCM(5627/504, 9281/945) = 52224187/63

LCM of 5627/504, 9281/945

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 5627/504,9281/945

Given numbers are 5627/504,9281/945

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 5627,9281

Least Common Multiple of Numerators i.e. LCM of 5627,9281 is 52224187.

GCF of Denominators means GCF of 504,945 as per the given fractions.

GCF of 504,945 is 63 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5627,9281

LCM of Fractions 5627/504,9281/945 is 52224187/63

Given numbers has no common factors except 1. So, there LCM is their product i.e 52224187

Least Common Multiple of 5627,9281 with GCF Formula

Least Common Multiple of 5627,9281 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 5627,9281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5627,9281) = 1

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

GCF(5627,9281) x common factors =1 x 1 = 1

LCM(5627,9281) = ( 5627 × 9281 ) / 1

LCM(5627,9281) = 52224187 / 1

LCM(5627,9281) = 52224187


Lets's calculate GCF of 504,945

3 504, 945
3 168, 315
7 56, 105
8, 15

∴ So the GCF of the given numbers is 3 x 3 x 7 = 63

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52224187/63

Therefore the LCM of Fractions 5627/504,9281/945 is 52224187/63

Greatest Common Factor of 504,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,945 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 504,945 . The biggest common factor number is the GCF number.
So the greatest common factor 504,945 is 63.


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 5627/504, 9281/945

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 5627/504, 9281/945?

Answer: LCM of Numerators as per given numbers 5627/504, 9281/945 is

LCM of Numerators i.e. for 5627,9281 is 52224187

GCF of denominators i.e. for 504,945 is 63.

Thus, LCM of Fractions is 52224187/63.Finally, LCM of Fractions for 5627/504, 9281/945 is 52224187/63.