Least Common Multiple of 298/42, 575/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 298/42, 575/592 quickly i.e. 85675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 298/42, 575/592 is 85675.

LCM(298/42, 575/592) = 85675

LCM of 298/42, 575/592

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 298/42,575/592

Given numbers are 298/42,575/592

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 298,575

Least Common Multiple of Numerators i.e. LCM of 298,575 is 171350.

GCF of Denominators means GCF of 42,592 as per the given fractions.

GCF of 42,592 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 298,575

LCM of Fractions 298/42,575/592 is 85675

Given numbers has no common factors except 1. So, there LCM is their product i.e 171350

Least Common Multiple of 298,575 with GCF Formula

Least Common Multiple of 298,575 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 298,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,575) = 1

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

GCF(298,575) x common factors =1 x 1 = 1

LCM(298,575) = ( 298 × 575 ) / 1

LCM(298,575) = 171350 / 1

LCM(298,575) = 171350


Lets's calculate GCF of 42,592

2 42, 592
21, 296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171350/2

Therefore the LCM of Fractions 298/42,575/592 is 85675

Greatest Common Factor of 42,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,592 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 42,592 . The biggest common factor number is the GCF number.
So the greatest common factor 42,592 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 298/42, 575/592

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 298/42, 575/592?

Answer: LCM of Numerators as per given numbers 298/42, 575/592 is

LCM of Numerators i.e. for 298,575 is 171350

GCF of denominators i.e. for 42,592 is 2.

Thus, LCM of Fractions is 85675.Finally, LCM of Fractions for 298/42, 575/592 is 85675.