Least Common Multiple of 4957/634, 4627/5214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4957/634, 4627/5214 quickly i.e. 22936039/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4957/634, 4627/5214 is 22936039/2.

LCM(4957/634, 4627/5214) = 22936039/2

LCM of 4957/634, 4627/5214

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 4957/634,4627/5214

Given numbers are 4957/634,4627/5214

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 4957,4627

Least Common Multiple of Numerators i.e. LCM of 4957,4627 is 22936039.

GCF of Denominators means GCF of 634,5214 as per the given fractions.

GCF of 634,5214 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4957,4627

LCM of Fractions 4957/634,4627/5214 is 22936039/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 22936039

Least Common Multiple of 4957,4627 with GCF Formula

Least Common Multiple of 4957,4627 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 4957,4627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4957,4627) = 1

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

GCF(4957,4627) x common factors =1 x 1 = 1

LCM(4957,4627) = ( 4957 × 4627 ) / 1

LCM(4957,4627) = 22936039 / 1

LCM(4957,4627) = 22936039


Lets's calculate GCF of 634,5214

2 634, 5214
317, 2607

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22936039/2

Therefore the LCM of Fractions 4957/634,4627/5214 is 22936039/2

Greatest Common Factor of 634,5214 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,5214 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 5214

List of positive integer factors of 5214 that divides 5214 without a remainder.

1,2,3,6,11,22,33,66,79,158,237,474,869,1738,2607,5214

Greatest Common Factor

We found the factors 634,5214 . The biggest common factor number is the GCF number.
So the greatest common factor 634,5214 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 4957/634, 4627/5214

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 4957/634, 4627/5214?

Answer: LCM of Numerators as per given numbers 4957/634, 4627/5214 is

LCM of Numerators i.e. for 4957,4627 is 22936039

GCF of denominators i.e. for 634,5214 is 2.

Thus, LCM of Fractions is 22936039/2.Finally, LCM of Fractions for 4957/634, 4627/5214 is 22936039/2.