Least Common Multiple of 68/989, 23/415, 878/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/989, 23/415, 878/365 quickly i.e. 686596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/989, 23/415, 878/365 is 686596.

LCM(68/989, 23/415, 878/365) = 686596

LCM of 68/989, 23/415, 878/365

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 68/989,23/415,878/365

Given numbers are 68/989,23/415,878/365

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 68,23,878

Least Common Multiple of Numerators i.e. LCM of 68,23,878 is 686596.

GCF of Denominators means GCF of 989,415,365 as per the given fractions.

GCF of 989,415,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,23,878

LCM of Fractions 68/989,23/415,878/365 is 686596

2 68, 23, 878
34, 23, 439

∴ So the LCM of the given numbers is 2 x 34 x 23 x 439 = 686596

Least Common Multiple of 68,23,878 with GCF Formula

Least Common Multiple of 68,23,878 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 68,23,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,23,878) = 1

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

GCF(68,23,878) x common factors =1 x 2 = 2

LCM(68,23,878) = ( 68 × 23 × 878 ) / 2

LCM(68,23,878) = 1373192 / 2

LCM(68,23,878) = 686596


Lets's calculate GCF of 989,415,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 686596/1

Therefore the LCM of Fractions 68/989,23/415,878/365 is 686596

Greatest Common Factor of 989,415,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,415,365 By Matching Biggest Common Factor Method

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 989,415,365 . The biggest common factor number is the GCF number.
So the greatest common factor 989,415,365 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 68/989, 23/415, 878/365

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 68/989, 23/415, 878/365?

Answer: LCM of Numerators as per given numbers 68/989, 23/415, 878/365 is

LCM of Numerators i.e. for 68,23,878 is 686596

GCF of denominators i.e. for 989,415,365 is 1.

Thus, LCM of Fractions is 686596.Finally, LCM of Fractions for 68/989, 23/415, 878/365 is 686596.