Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/84, 78/36, 39/87, 13/847 quickly i.e. 1950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/84, 78/36, 39/87, 13/847 is 1950.
LCM(25/84, 78/36, 39/87, 13/847) = 1950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/84,78/36,39/87,13/847
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 25,78,39,13
Least Common Multiple of Numerators i.e. LCM of 25,78,39,13 is 1950.
GCF of Denominators means GCF of 84,36,87,847 as per the given fractions.
GCF of 84,36,87,847 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,78,39,13
3 | 25, 78, 39, 13 |
13 | 25, 26, 13, 13 |
25, 2, 1, 1 |
∴ So the LCM of the given numbers is 3 x 13 x 25 x 2 x 1 x 1 = 1950
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 25,78,39,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,78,39,13) = 1
common factors(in case of two or more numbers have common factors) = 507
GCF(25,78,39,13) x common factors =1 x 507 = 507
LCM(25,78,39,13) = ( 25 × 78 × 39 × 13 ) / 507
LCM(25,78,39,13) = 988650 / 507
LCM(25,78,39,13) = 1950
Lets's calculate GCF of 84,36,87,847
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1950/1
Therefore the LCM of Fractions 25/84,78/36,39/87,13/847 is 1950
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 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Greatest Common Factor
We found the factors 84,36,87,847 . The biggest common factor number is the GCF number.
So the greatest common factor 84,36,87,847 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 25/84, 78/36, 39/87, 13/847?
Answer: LCM of Numerators as per given numbers 25/84, 78/36, 39/87, 13/847 is
LCM of Numerators i.e. for 25,78,39,13 is 1950
GCF of denominators i.e. for 84,36,87,847 is 1.
Thus, LCM of Fractions is 1950.Finally, LCM of Fractions for 25/84, 78/36, 39/87, 13/847 is 1950.