Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/82, 120/26, 480/985 quickly i.e. 14880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/82, 120/26, 480/985 is 14880.
LCM(31/82, 120/26, 480/985) = 14880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/82,120/26,480/985
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 31,120,480
Least Common Multiple of Numerators i.e. LCM of 31,120,480 is 14880.
GCF of Denominators means GCF of 82,26,985 as per the given fractions.
GCF of 82,26,985 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,120,480
2 | 31, 120, 480 |
2 | 31, 60, 240 |
2 | 31, 30, 120 |
3 | 31, 15, 60 |
5 | 31, 5, 20 |
31, 1, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 31 x 1 x 4 = 14880
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 31,120,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,120,480) = 1
common factors(in case of two or more numbers have common factors) = 120
GCF(31,120,480) x common factors =1 x 120 = 120
LCM(31,120,480) = ( 31 × 120 × 480 ) / 120
LCM(31,120,480) = 1785600 / 120
LCM(31,120,480) = 14880
Lets's calculate GCF of 82,26,985
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14880/1
Therefore the LCM of Fractions 31/82,120/26,480/985 is 14880
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Greatest Common Factor
We found the factors 82,26,985 . The biggest common factor number is the GCF number.
So the greatest common factor 82,26,985 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 31/82, 120/26, 480/985?
Answer: LCM of Numerators as per given numbers 31/82, 120/26, 480/985 is
LCM of Numerators i.e. for 31,120,480 is 14880
GCF of denominators i.e. for 82,26,985 is 1.
Thus, LCM of Fractions is 14880.Finally, LCM of Fractions for 31/82, 120/26, 480/985 is 14880.