Least Common Multiple of 57/221, 428/58, 355/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/221, 428/58, 355/518 quickly i.e. 8660580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/221, 428/58, 355/518 is 8660580.

LCM(57/221, 428/58, 355/518) = 8660580

LCM of 57/221, 428/58, 355/518

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 57/221,428/58,355/518

Given numbers are 57/221,428/58,355/518

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 57,428,355

Least Common Multiple of Numerators i.e. LCM of 57,428,355 is 8660580.

GCF of Denominators means GCF of 221,58,518 as per the given fractions.

GCF of 221,58,518 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,428,355

LCM of Fractions 57/221,428/58,355/518 is 8660580

Given numbers has no common factors except 1. So, there LCM is their product i.e 8660580

Least Common Multiple of 57,428,355 with GCF Formula

Least Common Multiple of 57,428,355 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 57,428,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,428,355) = 1

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

GCF(57,428,355) x common factors =1 x 1 = 1

LCM(57,428,355) = ( 57 × 428 × 355 ) / 1

LCM(57,428,355) = 8660580 / 1

LCM(57,428,355) = 8660580


Lets's calculate GCF of 221,58,518

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8660580/1

Therefore the LCM of Fractions 57/221,428/58,355/518 is 8660580

Greatest Common Factor of 221,58,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,58,518 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 221,58,518 . The biggest common factor number is the GCF number.
So the greatest common factor 221,58,518 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 57/221, 428/58, 355/518

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 57/221, 428/58, 355/518?

Answer: LCM of Numerators as per given numbers 57/221, 428/58, 355/518 is

LCM of Numerators i.e. for 57,428,355 is 8660580

GCF of denominators i.e. for 221,58,518 is 1.

Thus, LCM of Fractions is 8660580.Finally, LCM of Fractions for 57/221, 428/58, 355/518 is 8660580.