Least Common Multiple of 231/551, 773/257, 590/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 231/551, 773/257, 590/118 quickly i.e. 105352170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 231/551, 773/257, 590/118 is 105352170.

LCM(231/551, 773/257, 590/118) = 105352170

LCM of 231/551, 773/257, 590/118

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 231/551,773/257,590/118

Given numbers are 231/551,773/257,590/118

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 231,773,590

Least Common Multiple of Numerators i.e. LCM of 231,773,590 is 105352170.

GCF of Denominators means GCF of 551,257,118 as per the given fractions.

GCF of 551,257,118 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 231,773,590

LCM of Fractions 231/551,773/257,590/118 is 105352170

Given numbers has no common factors except 1. So, there LCM is their product i.e 105352170

Least Common Multiple of 231,773,590 with GCF Formula

Least Common Multiple of 231,773,590 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 231,773,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,773,590) = 1

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

GCF(231,773,590) x common factors =1 x 1 = 1

LCM(231,773,590) = ( 231 × 773 × 590 ) / 1

LCM(231,773,590) = 105352170 / 1

LCM(231,773,590) = 105352170


Lets's calculate GCF of 551,257,118

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105352170/1

Therefore the LCM of Fractions 231/551,773/257,590/118 is 105352170

Greatest Common Factor of 551,257,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,257,118 By Matching Biggest Common Factor Method

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 551,257,118 . The biggest common factor number is the GCF number.
So the greatest common factor 551,257,118 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 231/551, 773/257, 590/118

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 231/551, 773/257, 590/118?

Answer: LCM of Numerators as per given numbers 231/551, 773/257, 590/118 is

LCM of Numerators i.e. for 231,773,590 is 105352170

GCF of denominators i.e. for 551,257,118 is 1.

Thus, LCM of Fractions is 105352170.Finally, LCM of Fractions for 231/551, 773/257, 590/118 is 105352170.