Least Common Multiple of 5587/466, 9264/6427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5587/466, 9264/6427 quickly i.e. 51757968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5587/466, 9264/6427 is 51757968.

LCM(5587/466, 9264/6427) = 51757968

LCM of 5587/466, 9264/6427

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 5587/466,9264/6427

Given numbers are 5587/466,9264/6427

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 5587,9264

Least Common Multiple of Numerators i.e. LCM of 5587,9264 is 51757968.

GCF of Denominators means GCF of 466,6427 as per the given fractions.

GCF of 466,6427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5587,9264

LCM of Fractions 5587/466,9264/6427 is 51757968

Given numbers has no common factors except 1. So, there LCM is their product i.e 51757968

Least Common Multiple of 5587,9264 with GCF Formula

Least Common Multiple of 5587,9264 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 5587,9264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5587,9264) = 1

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

GCF(5587,9264) x common factors =1 x 1 = 1

LCM(5587,9264) = ( 5587 × 9264 ) / 1

LCM(5587,9264) = 51757968 / 1

LCM(5587,9264) = 51757968


Lets's calculate GCF of 466,6427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51757968/1

Therefore the LCM of Fractions 5587/466,9264/6427 is 51757968

Greatest Common Factor of 466,6427 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,6427 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 6427

List of positive integer factors of 6427 that divides 6427 without a remainder.

1,6427

Greatest Common Factor

We found the factors 466,6427 . The biggest common factor number is the GCF number.
So the greatest common factor 466,6427 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 5587/466, 9264/6427

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 5587/466, 9264/6427?

Answer: LCM of Numerators as per given numbers 5587/466, 9264/6427 is

LCM of Numerators i.e. for 5587,9264 is 51757968

GCF of denominators i.e. for 466,6427 is 1.

Thus, LCM of Fractions is 51757968.Finally, LCM of Fractions for 5587/466, 9264/6427 is 51757968.