Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/39, 31/52, 42/62, 22/789 quickly i.e. 229152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/39, 31/52, 42/62, 22/789 is 229152.
LCM(32/39, 31/52, 42/62, 22/789) = 229152
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/39,31/52,42/62,22/789
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 32,31,42,22
Least Common Multiple of Numerators i.e. LCM of 32,31,42,22 is 229152.
GCF of Denominators means GCF of 39,52,62,789 as per the given fractions.
GCF of 39,52,62,789 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,31,42,22
2 | 32, 31, 42, 22 |
16, 31, 21, 11 |
∴ So the LCM of the given numbers is 2 x 16 x 31 x 21 x 11 = 229152
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 32,31,42,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,31,42,22) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(32,31,42,22) x common factors =1 x 4 = 4
LCM(32,31,42,22) = ( 32 × 31 × 42 × 22 ) / 4
LCM(32,31,42,22) = 916608 / 4
LCM(32,31,42,22) = 229152
Lets's calculate GCF of 39,52,62,789
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229152/1
Therefore the LCM of Fractions 32/39,31/52,42/62,22/789 is 229152
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Greatest Common Factor
We found the factors 39,52,62,789 . The biggest common factor number is the GCF number.
So the greatest common factor 39,52,62,789 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 32/39, 31/52, 42/62, 22/789?
Answer: LCM of Numerators as per given numbers 32/39, 31/52, 42/62, 22/789 is
LCM of Numerators i.e. for 32,31,42,22 is 229152
GCF of denominators i.e. for 39,52,62,789 is 1.
Thus, LCM of Fractions is 229152.Finally, LCM of Fractions for 32/39, 31/52, 42/62, 22/789 is 229152.