Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/91, 39/47, 11/80, 22/685 quickly i.e. 12012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/91, 39/47, 11/80, 22/685 is 12012.
LCM(84/91, 39/47, 11/80, 22/685) = 12012
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/91,39/47,11/80,22/685
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 84,39,11,22
Least Common Multiple of Numerators i.e. LCM of 84,39,11,22 is 12012.
GCF of Denominators means GCF of 91,47,80,685 as per the given fractions.
GCF of 91,47,80,685 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,39,11,22
2 | 84, 39, 11, 22 |
3 | 42, 39, 11, 11 |
11 | 14, 13, 11, 11 |
14, 13, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 14 x 13 x 1 x 1 = 12012
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 84,39,11,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,39,11,22) = 1
common factors(in case of two or more numbers have common factors) = 66
GCF(84,39,11,22) x common factors =1 x 66 = 66
LCM(84,39,11,22) = ( 84 × 39 × 11 × 22 ) / 66
LCM(84,39,11,22) = 792792 / 66
LCM(84,39,11,22) = 12012
Lets's calculate GCF of 91,47,80,685
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12012/1
Therefore the LCM of Fractions 84/91,39/47,11/80,22/685 is 12012
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Greatest Common Factor
We found the factors 91,47,80,685 . The biggest common factor number is the GCF number.
So the greatest common factor 91,47,80,685 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 84/91, 39/47, 11/80, 22/685?
Answer: LCM of Numerators as per given numbers 84/91, 39/47, 11/80, 22/685 is
LCM of Numerators i.e. for 84,39,11,22 is 12012
GCF of denominators i.e. for 91,47,80,685 is 1.
Thus, LCM of Fractions is 12012.Finally, LCM of Fractions for 84/91, 39/47, 11/80, 22/685 is 12012.