Least Common Multiple of 375/45, 258/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 375/45, 258/339 quickly i.e. 10750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 375/45, 258/339 is 10750.

LCM(375/45, 258/339) = 10750

LCM of 375/45, 258/339

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 375/45,258/339

Given numbers are 375/45,258/339

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 375,258

Least Common Multiple of Numerators i.e. LCM of 375,258 is 32250.

GCF of Denominators means GCF of 45,339 as per the given fractions.

GCF of 45,339 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 375,258

LCM of Fractions 375/45,258/339 is 10750

3 375, 258
125, 86

∴ So the LCM of the given numbers is 3 x 125 x 86 = 32250

Least Common Multiple of 375,258 with GCF Formula

Least Common Multiple of 375,258 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 375,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,258) = 3

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

GCF(375,258) x common factors =3 x 1 = 3

LCM(375,258) = ( 375 × 258 ) / 3

LCM(375,258) = 96750 / 3

LCM(375,258) = 32250


Lets's calculate GCF of 45,339

3 45, 339
15, 113

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32250/3

Therefore the LCM of Fractions 375/45,258/339 is 10750

Greatest Common Factor of 45,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,339 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 45,339 . The biggest common factor number is the GCF number.
So the greatest common factor 45,339 is 3.


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 375/45, 258/339

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 375/45, 258/339?

Answer: LCM of Numerators as per given numbers 375/45, 258/339 is

LCM of Numerators i.e. for 375,258 is 32250

GCF of denominators i.e. for 45,339 is 3.

Thus, LCM of Fractions is 10750.Finally, LCM of Fractions for 375/45, 258/339 is 10750.