Least Common Multiple of 242/898, 391/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 242/898, 391/578 quickly i.e. 47311 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 242/898, 391/578 is 47311.

LCM(242/898, 391/578) = 47311

LCM of 242/898, 391/578

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 242/898,391/578

Given numbers are 242/898,391/578

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 242,391

Least Common Multiple of Numerators i.e. LCM of 242,391 is 94622.

GCF of Denominators means GCF of 898,578 as per the given fractions.

GCF of 898,578 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 242,391

LCM of Fractions 242/898,391/578 is 47311

Given numbers has no common factors except 1. So, there LCM is their product i.e 94622

Least Common Multiple of 242,391 with GCF Formula

Least Common Multiple of 242,391 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 242,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,391) = 1

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

GCF(242,391) x common factors =1 x 1 = 1

LCM(242,391) = ( 242 × 391 ) / 1

LCM(242,391) = 94622 / 1

LCM(242,391) = 94622


Lets's calculate GCF of 898,578

2 898, 578
449, 289

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94622/2

Therefore the LCM of Fractions 242/898,391/578 is 47311

Greatest Common Factor of 898,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,578 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 898,578 . The biggest common factor number is the GCF number.
So the greatest common factor 898,578 is 2.


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 242/898, 391/578

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 242/898, 391/578?

Answer: LCM of Numerators as per given numbers 242/898, 391/578 is

LCM of Numerators i.e. for 242,391 is 94622

GCF of denominators i.e. for 898,578 is 2.

Thus, LCM of Fractions is 47311.Finally, LCM of Fractions for 242/898, 391/578 is 47311.