Least Common Multiple of 557/90, 4857/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 557/90, 4857/288 quickly i.e. 2705349/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 557/90, 4857/288 is 2705349/18.

LCM(557/90, 4857/288) = 2705349/18

LCM of 557/90, 4857/288

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 557/90,4857/288

Given numbers are 557/90,4857/288

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 557,4857

Least Common Multiple of Numerators i.e. LCM of 557,4857 is 2705349.

GCF of Denominators means GCF of 90,288 as per the given fractions.

GCF of 90,288 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 557,4857

LCM of Fractions 557/90,4857/288 is 2705349/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 2705349

Least Common Multiple of 557,4857 with GCF Formula

Least Common Multiple of 557,4857 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 557,4857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,4857) = 1

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

GCF(557,4857) x common factors =1 x 1 = 1

LCM(557,4857) = ( 557 × 4857 ) / 1

LCM(557,4857) = 2705349 / 1

LCM(557,4857) = 2705349


Lets's calculate GCF of 90,288

2 90, 288
3 45, 144
3 15, 48
5, 16

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2705349/18

Therefore the LCM of Fractions 557/90,4857/288 is 2705349/18

Greatest Common Factor of 90,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,288 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 90,288 . The biggest common factor number is the GCF number.
So the greatest common factor 90,288 is 18.


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 557/90, 4857/288

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 557/90, 4857/288?

Answer: LCM of Numerators as per given numbers 557/90, 4857/288 is

LCM of Numerators i.e. for 557,4857 is 2705349

GCF of denominators i.e. for 90,288 is 18.

Thus, LCM of Fractions is 2705349/18.Finally, LCM of Fractions for 557/90, 4857/288 is 2705349/18.