Least Common Multiple of 5727/46, 9559/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5727/46, 9559/629 quickly i.e. 54744393 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5727/46, 9559/629 is 54744393.

LCM(5727/46, 9559/629) = 54744393

LCM of 5727/46, 9559/629

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 5727/46,9559/629

Given numbers are 5727/46,9559/629

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 5727,9559

Least Common Multiple of Numerators i.e. LCM of 5727,9559 is 54744393.

GCF of Denominators means GCF of 46,629 as per the given fractions.

GCF of 46,629 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5727,9559

LCM of Fractions 5727/46,9559/629 is 54744393

Given numbers has no common factors except 1. So, there LCM is their product i.e 54744393

Least Common Multiple of 5727,9559 with GCF Formula

Least Common Multiple of 5727,9559 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 5727,9559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5727,9559) = 1

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

GCF(5727,9559) x common factors =1 x 1 = 1

LCM(5727,9559) = ( 5727 × 9559 ) / 1

LCM(5727,9559) = 54744393 / 1

LCM(5727,9559) = 54744393


Lets's calculate GCF of 46,629

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54744393/1

Therefore the LCM of Fractions 5727/46,9559/629 is 54744393

Greatest Common Factor of 46,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,629 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 46,629 . The biggest common factor number is the GCF number.
So the greatest common factor 46,629 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5727/46, 9559/629

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 5727/46, 9559/629?

Answer: LCM of Numerators as per given numbers 5727/46, 9559/629 is

LCM of Numerators i.e. for 5727,9559 is 54744393

GCF of denominators i.e. for 46,629 is 1.

Thus, LCM of Fractions is 54744393.Finally, LCM of Fractions for 5727/46, 9559/629 is 54744393.