Least Common Multiple of 57/283, 307/861, 229/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/283, 307/861, 229/890 quickly i.e. 4007271 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/283, 307/861, 229/890 is 4007271.

LCM(57/283, 307/861, 229/890) = 4007271

LCM of 57/283, 307/861, 229/890

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 57/283,307/861,229/890

Given numbers are 57/283,307/861,229/890

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 57,307,229

Least Common Multiple of Numerators i.e. LCM of 57,307,229 is 4007271.

GCF of Denominators means GCF of 283,861,890 as per the given fractions.

GCF of 283,861,890 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,307,229

LCM of Fractions 57/283,307/861,229/890 is 4007271

Given numbers has no common factors except 1. So, there LCM is their product i.e 4007271

Least Common Multiple of 57,307,229 with GCF Formula

Least Common Multiple of 57,307,229 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 57,307,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,307,229) = 1

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

GCF(57,307,229) x common factors =1 x 1 = 1

LCM(57,307,229) = ( 57 × 307 × 229 ) / 1

LCM(57,307,229) = 4007271 / 1

LCM(57,307,229) = 4007271


Lets's calculate GCF of 283,861,890

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4007271/1

Therefore the LCM of Fractions 57/283,307/861,229/890 is 4007271

Greatest Common Factor of 283,861,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 283,861,890 By Matching Biggest Common Factor Method

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 283,861,890 . The biggest common factor number is the GCF number.
So the greatest common factor 283,861,890 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 57/283, 307/861, 229/890

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 57/283, 307/861, 229/890?

Answer: LCM of Numerators as per given numbers 57/283, 307/861, 229/890 is

LCM of Numerators i.e. for 57,307,229 is 4007271

GCF of denominators i.e. for 283,861,890 is 1.

Thus, LCM of Fractions is 4007271.Finally, LCM of Fractions for 57/283, 307/861, 229/890 is 4007271.