Least Common Multiple of 67/591, 666/631, 117/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/591, 666/631, 117/104 quickly i.e. 580086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/591, 666/631, 117/104 is 580086.

LCM(67/591, 666/631, 117/104) = 580086

LCM of 67/591, 666/631, 117/104

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 67/591,666/631,117/104

Given numbers are 67/591,666/631,117/104

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 67,666,117

Least Common Multiple of Numerators i.e. LCM of 67,666,117 is 580086.

GCF of Denominators means GCF of 591,631,104 as per the given fractions.

GCF of 591,631,104 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,666,117

LCM of Fractions 67/591,666/631,117/104 is 580086

3 67, 666, 117
3 67, 222, 39
67, 74, 13

∴ So the LCM of the given numbers is 3 x 3 x 67 x 74 x 13 = 580086

Least Common Multiple of 67,666,117 with GCF Formula

Least Common Multiple of 67,666,117 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 67,666,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,666,117) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(67,666,117) x common factors =1 x 9 = 9

LCM(67,666,117) = ( 67 × 666 × 117 ) / 9

LCM(67,666,117) = 5220774 / 9

LCM(67,666,117) = 580086


Lets's calculate GCF of 591,631,104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 580086/1

Therefore the LCM of Fractions 67/591,666/631,117/104 is 580086

Greatest Common Factor of 591,631,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 591,631,104 By Matching Biggest Common Factor Method

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 591,631,104 . The biggest common factor number is the GCF number.
So the greatest common factor 591,631,104 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 67/591, 666/631, 117/104

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 67/591, 666/631, 117/104?

Answer: LCM of Numerators as per given numbers 67/591, 666/631, 117/104 is

LCM of Numerators i.e. for 67,666,117 is 580086

GCF of denominators i.e. for 591,631,104 is 1.

Thus, LCM of Fractions is 580086.Finally, LCM of Fractions for 67/591, 666/631, 117/104 is 580086.