Least Common Multiple of 241/774, 498/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 241/774, 498/898 quickly i.e. 60009 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 241/774, 498/898 is 60009.

LCM(241/774, 498/898) = 60009

LCM of 241/774, 498/898

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 241/774,498/898

Given numbers are 241/774,498/898

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 241,498

Least Common Multiple of Numerators i.e. LCM of 241,498 is 120018.

GCF of Denominators means GCF of 774,898 as per the given fractions.

GCF of 774,898 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 241,498

LCM of Fractions 241/774,498/898 is 60009

Given numbers has no common factors except 1. So, there LCM is their product i.e 120018

Least Common Multiple of 241,498 with GCF Formula

Least Common Multiple of 241,498 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 241,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,498) = 1

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

GCF(241,498) x common factors =1 x 1 = 1

LCM(241,498) = ( 241 × 498 ) / 1

LCM(241,498) = 120018 / 1

LCM(241,498) = 120018


Lets's calculate GCF of 774,898

2 774, 898
387, 449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120018/2

Therefore the LCM of Fractions 241/774,498/898 is 60009

Greatest Common Factor of 774,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,898 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 898

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

1,2,449,898

Greatest Common Factor

We found the factors 774,898 . The biggest common factor number is the GCF number.
So the greatest common factor 774,898 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 241/774, 498/898

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 241/774, 498/898?

Answer: LCM of Numerators as per given numbers 241/774, 498/898 is

LCM of Numerators i.e. for 241,498 is 120018

GCF of denominators i.e. for 774,898 is 2.

Thus, LCM of Fractions is 60009.Finally, LCM of Fractions for 241/774, 498/898 is 60009.