Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/39, 31/24, 91/63, 21/63 quickly i.e. 31031 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/39, 31/24, 91/63, 21/63 is 31031.
LCM(77/39, 31/24, 91/63, 21/63) = 31031
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/39,31/24,91/63,21/63
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 77,31,91,21
Least Common Multiple of Numerators i.e. LCM of 77,31,91,21 is 93093.
GCF of Denominators means GCF of 39,24,63,63 as per the given fractions.
GCF of 39,24,63,63 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,31,91,21
7 | 77, 31, 91, 21 |
11, 31, 13, 3 |
∴ So the LCM of the given numbers is 7 x 11 x 31 x 13 x 3 = 93093
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 77,31,91,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,31,91,21) = 1
common factors(in case of two or more numbers have common factors) = 49
GCF(77,31,91,21) x common factors =1 x 49 = 49
LCM(77,31,91,21) = ( 77 × 31 × 91 × 21 ) / 49
LCM(77,31,91,21) = 4561557 / 49
LCM(77,31,91,21) = 93093
Lets's calculate GCF of 39,24,63,63
3 | 39, 24, 63, 63 |
13, 8, 21, 21 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93093/3
Therefore the LCM of Fractions 77/39,31/24,91/63,21/63 is 31031
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Greatest Common Factor
We found the factors 39,24,63,63 . The biggest common factor number is the GCF number.
So the greatest common factor 39,24,63,63 is 3.
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 77/39, 31/24, 91/63, 21/63?
Answer: LCM of Numerators as per given numbers 77/39, 31/24, 91/63, 21/63 is
LCM of Numerators i.e. for 77,31,91,21 is 93093
GCF of denominators i.e. for 39,24,63,63 is 3.
Thus, LCM of Fractions is 31031.Finally, LCM of Fractions for 77/39, 31/24, 91/63, 21/63 is 31031.