Least Common Multiple of 782/195, 386/585, 772/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 782/195, 386/585, 772/889 quickly i.e. 301852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 782/195, 386/585, 772/889 is 301852.

LCM(782/195, 386/585, 772/889) = 301852

LCM of 782/195, 386/585, 772/889

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 782/195,386/585,772/889

Given numbers are 782/195,386/585,772/889

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 782,386,772

Least Common Multiple of Numerators i.e. LCM of 782,386,772 is 301852.

GCF of Denominators means GCF of 195,585,889 as per the given fractions.

GCF of 195,585,889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 782,386,772

LCM of Fractions 782/195,386/585,772/889 is 301852

2 782, 386, 772
193 391, 193, 386
391, 1, 2

∴ So the LCM of the given numbers is 2 x 193 x 391 x 1 x 2 = 301852

Least Common Multiple of 782,386,772 with GCF Formula

Least Common Multiple of 782,386,772 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 782,386,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,386,772) = 2

common factors(in case of two or more numbers have common factors) = 386

GCF(782,386,772) x common factors =2 x 386 = 772

LCM(782,386,772) = ( 782 × 386 × 772 ) / 772

LCM(782,386,772) = 233029744 / 772

LCM(782,386,772) = 301852


Lets's calculate GCF of 195,585,889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 301852/1

Therefore the LCM of Fractions 782/195,386/585,772/889 is 301852

Greatest Common Factor of 195,585,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,585,889 By Matching Biggest Common Factor Method

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 195,585,889 . The biggest common factor number is the GCF number.
So the greatest common factor 195,585,889 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 782/195, 386/585, 772/889

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 782/195, 386/585, 772/889?

Answer: LCM of Numerators as per given numbers 782/195, 386/585, 772/889 is

LCM of Numerators i.e. for 782,386,772 is 301852

GCF of denominators i.e. for 195,585,889 is 1.

Thus, LCM of Fractions is 301852.Finally, LCM of Fractions for 782/195, 386/585, 772/889 is 301852.