Least Common Multiple of 842/225, 586/793, 660/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 842/225, 586/793, 660/712 quickly i.e. 81412980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 842/225, 586/793, 660/712 is 81412980.

LCM(842/225, 586/793, 660/712) = 81412980

LCM of 842/225, 586/793, 660/712

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 842/225,586/793,660/712

Given numbers are 842/225,586/793,660/712

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 842,586,660

Least Common Multiple of Numerators i.e. LCM of 842,586,660 is 81412980.

GCF of Denominators means GCF of 225,793,712 as per the given fractions.

GCF of 225,793,712 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 842,586,660

LCM of Fractions 842/225,586/793,660/712 is 81412980

2 842, 586, 660
421, 293, 330

∴ So the LCM of the given numbers is 2 x 421 x 293 x 330 = 81412980

Least Common Multiple of 842,586,660 with GCF Formula

Least Common Multiple of 842,586,660 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 842,586,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,586,660) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(842,586,660) x common factors =2 x 2 = 4

LCM(842,586,660) = ( 842 × 586 × 660 ) / 4

LCM(842,586,660) = 325651920 / 4

LCM(842,586,660) = 81412980


Lets's calculate GCF of 225,793,712

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81412980/1

Therefore the LCM of Fractions 842/225,586/793,660/712 is 81412980

Greatest Common Factor of 225,793,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,793,712 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 225,793,712 . The biggest common factor number is the GCF number.
So the greatest common factor 225,793,712 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 842/225, 586/793, 660/712

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 842/225, 586/793, 660/712?

Answer: LCM of Numerators as per given numbers 842/225, 586/793, 660/712 is

LCM of Numerators i.e. for 842,586,660 is 81412980

GCF of denominators i.e. for 225,793,712 is 1.

Thus, LCM of Fractions is 81412980.Finally, LCM of Fractions for 842/225, 586/793, 660/712 is 81412980.