Least Common Multiple of 17/75, 75/33, 660/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/75, 75/33, 660/894 quickly i.e. 18700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/75, 75/33, 660/894 is 18700.

LCM(17/75, 75/33, 660/894) = 18700

LCM of 17/75, 75/33, 660/894

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 17/75,75/33,660/894

Given numbers are 17/75,75/33,660/894

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 17,75,660

Least Common Multiple of Numerators i.e. LCM of 17,75,660 is 56100.

GCF of Denominators means GCF of 75,33,894 as per the given fractions.

GCF of 75,33,894 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,75,660

LCM of Fractions 17/75,75/33,660/894 is 18700

3 17, 75, 660
5 17, 25, 220
17, 5, 44

∴ So the LCM of the given numbers is 3 x 5 x 17 x 5 x 44 = 56100

Least Common Multiple of 17,75,660 with GCF Formula

Least Common Multiple of 17,75,660 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 17,75,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,75,660) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(17,75,660) x common factors =1 x 15 = 15

LCM(17,75,660) = ( 17 × 75 × 660 ) / 15

LCM(17,75,660) = 841500 / 15

LCM(17,75,660) = 56100


Lets's calculate GCF of 75,33,894

3 75, 33, 894
25, 11, 298

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56100/3

Therefore the LCM of Fractions 17/75,75/33,660/894 is 18700

Greatest Common Factor of 75,33,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,33,894 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 75,33,894 . The biggest common factor number is the GCF number.
So the greatest common factor 75,33,894 is 3.


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 17/75, 75/33, 660/894

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 17/75, 75/33, 660/894?

Answer: LCM of Numerators as per given numbers 17/75, 75/33, 660/894 is

LCM of Numerators i.e. for 17,75,660 is 56100

GCF of denominators i.e. for 75,33,894 is 3.

Thus, LCM of Fractions is 18700.Finally, LCM of Fractions for 17/75, 75/33, 660/894 is 18700.