Least Common Multiple of 7731/385, 9288/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7731/385, 9288/258 quickly i.e. 7978392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7731/385, 9288/258 is 7978392.

LCM(7731/385, 9288/258) = 7978392

LCM of 7731/385, 9288/258

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 7731/385,9288/258

Given numbers are 7731/385,9288/258

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 7731,9288

Least Common Multiple of Numerators i.e. LCM of 7731,9288 is 7978392.

GCF of Denominators means GCF of 385,258 as per the given fractions.

GCF of 385,258 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7731,9288

LCM of Fractions 7731/385,9288/258 is 7978392

3 7731, 9288
3 2577, 3096
859, 1032

∴ So the LCM of the given numbers is 3 x 3 x 859 x 1032 = 7978392

Least Common Multiple of 7731,9288 with GCF Formula

Least Common Multiple of 7731,9288 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 7731,9288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7731,9288) = 9

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

GCF(7731,9288) x common factors =9 x 1 = 9

LCM(7731,9288) = ( 7731 × 9288 ) / 9

LCM(7731,9288) = 71805528 / 9

LCM(7731,9288) = 7978392


Lets's calculate GCF of 385,258

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7978392/1

Therefore the LCM of Fractions 7731/385,9288/258 is 7978392

Greatest Common Factor of 385,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,258 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 385,258 . The biggest common factor number is the GCF number.
So the greatest common factor 385,258 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 7731/385, 9288/258

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 7731/385, 9288/258?

Answer: LCM of Numerators as per given numbers 7731/385, 9288/258 is

LCM of Numerators i.e. for 7731,9288 is 7978392

GCF of denominators i.e. for 385,258 is 1.

Thus, LCM of Fractions is 7978392.Finally, LCM of Fractions for 7731/385, 9288/258 is 7978392.