Least Common Multiple of 258/305, 4689/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 258/305, 4689/756 quickly i.e. 403254 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 258/305, 4689/756 is 403254.

LCM(258/305, 4689/756) = 403254

LCM of 258/305, 4689/756

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 258/305,4689/756

Given numbers are 258/305,4689/756

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 258,4689

Least Common Multiple of Numerators i.e. LCM of 258,4689 is 403254.

GCF of Denominators means GCF of 305,756 as per the given fractions.

GCF of 305,756 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 258,4689

LCM of Fractions 258/305,4689/756 is 403254

3 258, 4689
86, 1563

∴ So the LCM of the given numbers is 3 x 86 x 1563 = 403254

Least Common Multiple of 258,4689 with GCF Formula

Least Common Multiple of 258,4689 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 258,4689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,4689) = 3

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

GCF(258,4689) x common factors =3 x 1 = 3

LCM(258,4689) = ( 258 × 4689 ) / 3

LCM(258,4689) = 1209762 / 3

LCM(258,4689) = 403254


Lets's calculate GCF of 305,756

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 403254/1

Therefore the LCM of Fractions 258/305,4689/756 is 403254

Greatest Common Factor of 305,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,756 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 305,756 . The biggest common factor number is the GCF number.
So the greatest common factor 305,756 is 1.


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 258/305, 4689/756

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 258/305, 4689/756?

Answer: LCM of Numerators as per given numbers 258/305, 4689/756 is

LCM of Numerators i.e. for 258,4689 is 403254

GCF of denominators i.e. for 305,756 is 1.

Thus, LCM of Fractions is 403254.Finally, LCM of Fractions for 258/305, 4689/756 is 403254.