Least Common Multiple of 66/91, 975/75, 289/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/91, 975/75, 289/660 quickly i.e. 6199050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/91, 975/75, 289/660 is 6199050.

LCM(66/91, 975/75, 289/660) = 6199050

LCM of 66/91, 975/75, 289/660

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 66/91,975/75,289/660

Given numbers are 66/91,975/75,289/660

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 66,975,289

Least Common Multiple of Numerators i.e. LCM of 66,975,289 is 6199050.

GCF of Denominators means GCF of 91,75,660 as per the given fractions.

GCF of 91,75,660 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,975,289

LCM of Fractions 66/91,975/75,289/660 is 6199050

3 66, 975, 289
22, 325, 289

∴ So the LCM of the given numbers is 3 x 22 x 325 x 289 = 6199050

Least Common Multiple of 66,975,289 with GCF Formula

Least Common Multiple of 66,975,289 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 66,975,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,975,289) = 1

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

GCF(66,975,289) x common factors =1 x 3 = 3

LCM(66,975,289) = ( 66 × 975 × 289 ) / 3

LCM(66,975,289) = 18597150 / 3

LCM(66,975,289) = 6199050


Lets's calculate GCF of 91,75,660

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6199050/1

Therefore the LCM of Fractions 66/91,975/75,289/660 is 6199050

Greatest Common Factor of 91,75,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,75,660 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 75

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

1,3,5,15,25,75

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 91,75,660 . The biggest common factor number is the GCF number.
So the greatest common factor 91,75,660 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 66/91, 975/75, 289/660

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 66/91, 975/75, 289/660?

Answer: LCM of Numerators as per given numbers 66/91, 975/75, 289/660 is

LCM of Numerators i.e. for 66,975,289 is 6199050

GCF of denominators i.e. for 91,75,660 is 1.

Thus, LCM of Fractions is 6199050.Finally, LCM of Fractions for 66/91, 975/75, 289/660 is 6199050.