Least Common Multiple of 57/693, 5310/8103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/693, 5310/8103 quickly i.e. 33630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/693, 5310/8103 is 33630.

LCM(57/693, 5310/8103) = 33630

LCM of 57/693, 5310/8103

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 57/693,5310/8103

Given numbers are 57/693,5310/8103

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 57,5310

Least Common Multiple of Numerators i.e. LCM of 57,5310 is 100890.

GCF of Denominators means GCF of 693,8103 as per the given fractions.

GCF of 693,8103 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,5310

LCM of Fractions 57/693,5310/8103 is 33630

3 57, 5310
19, 1770

∴ So the LCM of the given numbers is 3 x 19 x 1770 = 100890

Least Common Multiple of 57,5310 with GCF Formula

Least Common Multiple of 57,5310 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 57,5310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,5310) = 3

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

GCF(57,5310) x common factors =3 x 1 = 3

LCM(57,5310) = ( 57 × 5310 ) / 3

LCM(57,5310) = 302670 / 3

LCM(57,5310) = 100890


Lets's calculate GCF of 693,8103

3 693, 8103
231, 2701

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100890/3

Therefore the LCM of Fractions 57/693,5310/8103 is 33630

Greatest Common Factor of 693,8103 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,8103 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 8103

List of positive integer factors of 8103 that divides 8103 without a remainder.

1,3,37,73,111,219,2701,8103

Greatest Common Factor

We found the factors 693,8103 . The biggest common factor number is the GCF number.
So the greatest common factor 693,8103 is 3.


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 57/693, 5310/8103

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 57/693, 5310/8103?

Answer: LCM of Numerators as per given numbers 57/693, 5310/8103 is

LCM of Numerators i.e. for 57,5310 is 100890

GCF of denominators i.e. for 693,8103 is 3.

Thus, LCM of Fractions is 33630.Finally, LCM of Fractions for 57/693, 5310/8103 is 33630.