Least Common Multiple of 34/284, 67/888, 287/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/284, 67/888, 287/638 quickly i.e. 326893 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/284, 67/888, 287/638 is 326893.

LCM(34/284, 67/888, 287/638) = 326893

LCM of 34/284, 67/888, 287/638

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 34/284,67/888,287/638

Given numbers are 34/284,67/888,287/638

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 34,67,287

Least Common Multiple of Numerators i.e. LCM of 34,67,287 is 653786.

GCF of Denominators means GCF of 284,888,638 as per the given fractions.

GCF of 284,888,638 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,67,287

LCM of Fractions 34/284,67/888,287/638 is 326893

Given numbers has no common factors except 1. So, there LCM is their product i.e 653786

Least Common Multiple of 34,67,287 with GCF Formula

Least Common Multiple of 34,67,287 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 34,67,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,67,287) = 1

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

GCF(34,67,287) x common factors =1 x 1 = 1

LCM(34,67,287) = ( 34 × 67 × 287 ) / 1

LCM(34,67,287) = 653786 / 1

LCM(34,67,287) = 653786


Lets's calculate GCF of 284,888,638

2 284, 888, 638
142, 444, 319

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 653786/2

Therefore the LCM of Fractions 34/284,67/888,287/638 is 326893

Greatest Common Factor of 284,888,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,888,638 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 284,888,638 . The biggest common factor number is the GCF number.
So the greatest common factor 284,888,638 is 2.


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 34/284, 67/888, 287/638

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 34/284, 67/888, 287/638?

Answer: LCM of Numerators as per given numbers 34/284, 67/888, 287/638 is

LCM of Numerators i.e. for 34,67,287 is 653786

GCF of denominators i.e. for 284,888,638 is 2.

Thus, LCM of Fractions is 326893.Finally, LCM of Fractions for 34/284, 67/888, 287/638 is 326893.