Least Common Multiple of 298/259, 8237/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 298/259, 8237/925 quickly i.e. 2454626/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 298/259, 8237/925 is 2454626/37.

LCM(298/259, 8237/925) = 2454626/37

LCM of 298/259, 8237/925

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 298/259,8237/925

Given numbers are 298/259,8237/925

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 298,8237

Least Common Multiple of Numerators i.e. LCM of 298,8237 is 2454626.

GCF of Denominators means GCF of 259,925 as per the given fractions.

GCF of 259,925 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 298,8237

LCM of Fractions 298/259,8237/925 is 2454626/37

Given numbers has no common factors except 1. So, there LCM is their product i.e 2454626

Least Common Multiple of 298,8237 with GCF Formula

Least Common Multiple of 298,8237 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 298,8237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,8237) = 1

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

GCF(298,8237) x common factors =1 x 1 = 1

LCM(298,8237) = ( 298 × 8237 ) / 1

LCM(298,8237) = 2454626 / 1

LCM(298,8237) = 2454626


Lets's calculate GCF of 259,925

37 259, 925
7, 25

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2454626/37

Therefore the LCM of Fractions 298/259,8237/925 is 2454626/37

Greatest Common Factor of 259,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,925 By Matching Biggest Common Factor Method

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 259,925 . The biggest common factor number is the GCF number.
So the greatest common factor 259,925 is 37.


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 298/259, 8237/925

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 298/259, 8237/925?

Answer: LCM of Numerators as per given numbers 298/259, 8237/925 is

LCM of Numerators i.e. for 298,8237 is 2454626

GCF of denominators i.e. for 259,925 is 37.

Thus, LCM of Fractions is 2454626/37.Finally, LCM of Fractions for 298/259, 8237/925 is 2454626/37.