Least Common Multiple of 509/47, 422/5127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 509/47, 422/5127 quickly i.e. 214798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 509/47, 422/5127 is 214798.

LCM(509/47, 422/5127) = 214798

LCM of 509/47, 422/5127

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 509/47,422/5127

Given numbers are 509/47,422/5127

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 509,422

Least Common Multiple of Numerators i.e. LCM of 509,422 is 214798.

GCF of Denominators means GCF of 47,5127 as per the given fractions.

GCF of 47,5127 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 509,422

LCM of Fractions 509/47,422/5127 is 214798

Given numbers has no common factors except 1. So, there LCM is their product i.e 214798

Least Common Multiple of 509,422 with GCF Formula

Least Common Multiple of 509,422 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 509,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,422) = 1

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

GCF(509,422) x common factors =1 x 1 = 1

LCM(509,422) = ( 509 × 422 ) / 1

LCM(509,422) = 214798 / 1

LCM(509,422) = 214798


Lets's calculate GCF of 47,5127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214798/1

Therefore the LCM of Fractions 509/47,422/5127 is 214798

Greatest Common Factor of 47,5127 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,5127 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 5127

List of positive integer factors of 5127 that divides 5127 without a remainder.

1,3,1709,5127

Greatest Common Factor

We found the factors 47,5127 . The biggest common factor number is the GCF number.
So the greatest common factor 47,5127 is 1.


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 509/47, 422/5127

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 509/47, 422/5127?

Answer: LCM of Numerators as per given numbers 509/47, 422/5127 is

LCM of Numerators i.e. for 509,422 is 214798

GCF of denominators i.e. for 47,5127 is 1.

Thus, LCM of Fractions is 214798.Finally, LCM of Fractions for 509/47, 422/5127 is 214798.