Least Common Multiple of 233/257, 798/268, 277/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 233/257, 798/268, 277/489 quickly i.e. 51503718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 233/257, 798/268, 277/489 is 51503718.

LCM(233/257, 798/268, 277/489) = 51503718

LCM of 233/257, 798/268, 277/489

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 233/257,798/268,277/489

Given numbers are 233/257,798/268,277/489

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 233,798,277

Least Common Multiple of Numerators i.e. LCM of 233,798,277 is 51503718.

GCF of Denominators means GCF of 257,268,489 as per the given fractions.

GCF of 257,268,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 233,798,277

LCM of Fractions 233/257,798/268,277/489 is 51503718

Given numbers has no common factors except 1. So, there LCM is their product i.e 51503718

Least Common Multiple of 233,798,277 with GCF Formula

Least Common Multiple of 233,798,277 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 233,798,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,798,277) = 1

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

GCF(233,798,277) x common factors =1 x 1 = 1

LCM(233,798,277) = ( 233 × 798 × 277 ) / 1

LCM(233,798,277) = 51503718 / 1

LCM(233,798,277) = 51503718


Lets's calculate GCF of 257,268,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51503718/1

Therefore the LCM of Fractions 233/257,798/268,277/489 is 51503718

Greatest Common Factor of 257,268,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 257,268,489 By Matching Biggest Common Factor Method

Factors of 257

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

1,257

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 257,268,489 . The biggest common factor number is the GCF number.
So the greatest common factor 257,268,489 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 233/257, 798/268, 277/489

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 233/257, 798/268, 277/489?

Answer: LCM of Numerators as per given numbers 233/257, 798/268, 277/489 is

LCM of Numerators i.e. for 233,798,277 is 51503718

GCF of denominators i.e. for 257,268,489 is 1.

Thus, LCM of Fractions is 51503718.Finally, LCM of Fractions for 233/257, 798/268, 277/489 is 51503718.