Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/86, 696/22, 424/319 quickly i.e. 36888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/86, 696/22, 424/319 is 36888.
LCM(87/86, 696/22, 424/319) = 36888
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/86,696/22,424/319
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 87,696,424
Least Common Multiple of Numerators i.e. LCM of 87,696,424 is 36888.
GCF of Denominators means GCF of 86,22,319 as per the given fractions.
GCF of 86,22,319 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,696,424
2 | 87, 696, 424 |
2 | 87, 348, 212 |
2 | 87, 174, 106 |
3 | 87, 87, 53 |
29 | 29, 29, 53 |
1, 1, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 29 x 1 x 1 x 53 = 36888
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 87,696,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,696,424) = 1
common factors(in case of two or more numbers have common factors) = 696
GCF(87,696,424) x common factors =1 x 696 = 696
LCM(87,696,424) = ( 87 × 696 × 424 ) / 696
LCM(87,696,424) = 25674048 / 696
LCM(87,696,424) = 36888
Lets's calculate GCF of 86,22,319
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36888/1
Therefore the LCM of Fractions 87/86,696/22,424/319 is 36888
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Greatest Common Factor
We found the factors 86,22,319 . The biggest common factor number is the GCF number.
So the greatest common factor 86,22,319 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 87/86, 696/22, 424/319?
Answer: LCM of Numerators as per given numbers 87/86, 696/22, 424/319 is
LCM of Numerators i.e. for 87,696,424 is 36888
GCF of denominators i.e. for 86,22,319 is 1.
Thus, LCM of Fractions is 36888.Finally, LCM of Fractions for 87/86, 696/22, 424/319 is 36888.