Least Common Multiple of 67/34, 28/59, 75/89, 33/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/34, 28/59, 75/89, 33/640 quickly i.e. 1547700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/34, 28/59, 75/89, 33/640 is 1547700.

LCM(67/34, 28/59, 75/89, 33/640) = 1547700

LCM of 67/34, 28/59, 75/89, 33/640

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 67/34,28/59,75/89,33/640

Given numbers are 67/34,28/59,75/89,33/640

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 67,28,75,33

Least Common Multiple of Numerators i.e. LCM of 67,28,75,33 is 1547700.

GCF of Denominators means GCF of 34,59,89,640 as per the given fractions.

GCF of 34,59,89,640 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,28,75,33

LCM of Fractions 67/34,28/59,75/89,33/640 is 1547700

3 67, 28, 75, 33
67, 28, 25, 11

∴ So the LCM of the given numbers is 3 x 67 x 28 x 25 x 11 = 1547700

Least Common Multiple of 67,28,75,33 with GCF Formula

Least Common Multiple of 67,28,75,33 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 67,28,75,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,28,75,33) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(67,28,75,33) x common factors =1 x 3 = 3

LCM(67,28,75,33) = ( 67 × 28 × 75 × 33 ) / 3

LCM(67,28,75,33) = 4643100 / 3

LCM(67,28,75,33) = 1547700


Lets's calculate GCF of 34,59,89,640

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1547700/1

Therefore the LCM of Fractions 67/34,28/59,75/89,33/640 is 1547700

Greatest Common Factor of 34,59,89,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,59,89,640 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 89

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

1,89

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 34,59,89,640 . The biggest common factor number is the GCF number.
So the greatest common factor 34,59,89,640 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 67/34, 28/59, 75/89, 33/640

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 67/34, 28/59, 75/89, 33/640?

Answer: LCM of Numerators as per given numbers 67/34, 28/59, 75/89, 33/640 is

LCM of Numerators i.e. for 67,28,75,33 is 1547700

GCF of denominators i.e. for 34,59,89,640 is 1.

Thus, LCM of Fractions is 1547700.Finally, LCM of Fractions for 67/34, 28/59, 75/89, 33/640 is 1547700.