Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/84, 806/80, 639/218 quickly i.e. 1802619 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/84, 806/80, 639/218 is 1802619.
LCM(91/84, 806/80, 639/218) = 1802619
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/84,806/80,639/218
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 91,806,639
Least Common Multiple of Numerators i.e. LCM of 91,806,639 is 3605238.
GCF of Denominators means GCF of 84,80,218 as per the given fractions.
GCF of 84,80,218 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,806,639
13 | 91, 806, 639 |
7, 62, 639 |
∴ So the LCM of the given numbers is 13 x 7 x 62 x 639 = 3605238
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 91,806,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,806,639) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(91,806,639) x common factors =1 x 13 = 13
LCM(91,806,639) = ( 91 × 806 × 639 ) / 13
LCM(91,806,639) = 46868094 / 13
LCM(91,806,639) = 3605238
Lets's calculate GCF of 84,80,218
2 | 84, 80, 218 |
42, 40, 109 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3605238/2
Therefore the LCM of Fractions 91/84,806/80,639/218 is 1802619
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
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 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Greatest Common Factor
We found the factors 84,80,218 . The biggest common factor number is the GCF number.
So the greatest common factor 84,80,218 is 2.
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 91/84, 806/80, 639/218?
Answer: LCM of Numerators as per given numbers 91/84, 806/80, 639/218 is
LCM of Numerators i.e. for 91,806,639 is 3605238
GCF of denominators i.e. for 84,80,218 is 2.
Thus, LCM of Fractions is 1802619.Finally, LCM of Fractions for 91/84, 806/80, 639/218 is 1802619.