Least Common Multiple of 57/699, 18/274, 395/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/699, 18/274, 395/829 quickly i.e. 135090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/699, 18/274, 395/829 is 135090.

LCM(57/699, 18/274, 395/829) = 135090

LCM of 57/699, 18/274, 395/829

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 57/699,18/274,395/829

Given numbers are 57/699,18/274,395/829

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 57,18,395

Least Common Multiple of Numerators i.e. LCM of 57,18,395 is 135090.

GCF of Denominators means GCF of 699,274,829 as per the given fractions.

GCF of 699,274,829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,18,395

LCM of Fractions 57/699,18/274,395/829 is 135090

3 57, 18, 395
19, 6, 395

∴ So the LCM of the given numbers is 3 x 19 x 6 x 395 = 135090

Least Common Multiple of 57,18,395 with GCF Formula

Least Common Multiple of 57,18,395 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 57,18,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,18,395) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(57,18,395) x common factors =1 x 3 = 3

LCM(57,18,395) = ( 57 × 18 × 395 ) / 3

LCM(57,18,395) = 405270 / 3

LCM(57,18,395) = 135090


Lets's calculate GCF of 699,274,829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135090/1

Therefore the LCM of Fractions 57/699,18/274,395/829 is 135090

Greatest Common Factor of 699,274,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,274,829 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 699,274,829 . The biggest common factor number is the GCF number.
So the greatest common factor 699,274,829 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 57/699, 18/274, 395/829

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 57/699, 18/274, 395/829?

Answer: LCM of Numerators as per given numbers 57/699, 18/274, 395/829 is

LCM of Numerators i.e. for 57,18,395 is 135090

GCF of denominators i.e. for 699,274,829 is 1.

Thus, LCM of Fractions is 135090.Finally, LCM of Fractions for 57/699, 18/274, 395/829 is 135090.