Least Common Multiple of 90/783, 312/89, 831/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/783, 312/89, 831/258 quickly i.e. 1296360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/783, 312/89, 831/258 is 1296360.

LCM(90/783, 312/89, 831/258) = 1296360

LCM of 90/783, 312/89, 831/258

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 90/783,312/89,831/258

Given numbers are 90/783,312/89,831/258

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 90,312,831

Least Common Multiple of Numerators i.e. LCM of 90,312,831 is 1296360.

GCF of Denominators means GCF of 783,89,258 as per the given fractions.

GCF of 783,89,258 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,312,831

LCM of Fractions 90/783,312/89,831/258 is 1296360

2 90, 312, 831
3 45, 156, 831
15, 52, 277

∴ So the LCM of the given numbers is 2 x 3 x 15 x 52 x 277 = 1296360

Least Common Multiple of 90,312,831 with GCF Formula

Least Common Multiple of 90,312,831 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 90,312,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,312,831) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(90,312,831) x common factors =3 x 6 = 18

LCM(90,312,831) = ( 90 × 312 × 831 ) / 18

LCM(90,312,831) = 23334480 / 18

LCM(90,312,831) = 1296360


Lets's calculate GCF of 783,89,258

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1296360/1

Therefore the LCM of Fractions 90/783,312/89,831/258 is 1296360

Greatest Common Factor of 783,89,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,89,258 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

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 783,89,258 . The biggest common factor number is the GCF number.
So the greatest common factor 783,89,258 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 90/783, 312/89, 831/258

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 90/783, 312/89, 831/258?

Answer: LCM of Numerators as per given numbers 90/783, 312/89, 831/258 is

LCM of Numerators i.e. for 90,312,831 is 1296360

GCF of denominators i.e. for 783,89,258 is 1.

Thus, LCM of Fractions is 1296360.Finally, LCM of Fractions for 90/783, 312/89, 831/258 is 1296360.