Least Common Multiple of 675/76, 258/1902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 675/76, 258/1902 quickly i.e. 29025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 675/76, 258/1902 is 29025.

LCM(675/76, 258/1902) = 29025

LCM of 675/76, 258/1902

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 675/76,258/1902

Given numbers are 675/76,258/1902

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 675,258

Least Common Multiple of Numerators i.e. LCM of 675,258 is 58050.

GCF of Denominators means GCF of 76,1902 as per the given fractions.

GCF of 76,1902 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 675,258

LCM of Fractions 675/76,258/1902 is 29025

3 675, 258
225, 86

∴ So the LCM of the given numbers is 3 x 225 x 86 = 58050

Least Common Multiple of 675,258 with GCF Formula

Least Common Multiple of 675,258 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 675,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,258) = 3

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

GCF(675,258) x common factors =3 x 1 = 3

LCM(675,258) = ( 675 × 258 ) / 3

LCM(675,258) = 174150 / 3

LCM(675,258) = 58050


Lets's calculate GCF of 76,1902

2 76, 1902
38, 951

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58050/2

Therefore the LCM of Fractions 675/76,258/1902 is 29025

Greatest Common Factor of 76,1902 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,1902 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 1902

List of positive integer factors of 1902 that divides 1902 without a remainder.

1,2,3,6,317,634,951,1902

Greatest Common Factor

We found the factors 76,1902 . The biggest common factor number is the GCF number.
So the greatest common factor 76,1902 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 675/76, 258/1902

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 675/76, 258/1902?

Answer: LCM of Numerators as per given numbers 675/76, 258/1902 is

LCM of Numerators i.e. for 675,258 is 58050

GCF of denominators i.e. for 76,1902 is 2.

Thus, LCM of Fractions is 29025.Finally, LCM of Fractions for 675/76, 258/1902 is 29025.