Least Common Multiple of 538/63, 917/7581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 538/63, 917/7581 quickly i.e. 493346/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 538/63, 917/7581 is 493346/21.

LCM(538/63, 917/7581) = 493346/21

LCM of 538/63, 917/7581

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 538/63,917/7581

Given numbers are 538/63,917/7581

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 538,917

Least Common Multiple of Numerators i.e. LCM of 538,917 is 493346.

GCF of Denominators means GCF of 63,7581 as per the given fractions.

GCF of 63,7581 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 538,917

LCM of Fractions 538/63,917/7581 is 493346/21

Given numbers has no common factors except 1. So, there LCM is their product i.e 493346

Least Common Multiple of 538,917 with GCF Formula

Least Common Multiple of 538,917 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 538,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,917) = 1

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

GCF(538,917) x common factors =1 x 1 = 1

LCM(538,917) = ( 538 × 917 ) / 1

LCM(538,917) = 493346 / 1

LCM(538,917) = 493346


Lets's calculate GCF of 63,7581

3 63, 7581
7 21, 2527
3, 361

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 493346/21

Therefore the LCM of Fractions 538/63,917/7581 is 493346/21

Greatest Common Factor of 63,7581 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,7581 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 7581

List of positive integer factors of 7581 that divides 7581 without a remainder.

1,3,7,19,21,57,133,361,399,1083,2527,7581

Greatest Common Factor

We found the factors 63,7581 . The biggest common factor number is the GCF number.
So the greatest common factor 63,7581 is 21.


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 538/63, 917/7581

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 538/63, 917/7581?

Answer: LCM of Numerators as per given numbers 538/63, 917/7581 is

LCM of Numerators i.e. for 538,917 is 493346

GCF of denominators i.e. for 63,7581 is 21.

Thus, LCM of Fractions is 493346/21.Finally, LCM of Fractions for 538/63, 917/7581 is 493346/21.