Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/93, 95/42, 44/31, 52/771 quickly i.e. 4836260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/93, 95/42, 44/31, 52/771 is 4836260.
LCM(89/93, 95/42, 44/31, 52/771) = 4836260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/93,95/42,44/31,52/771
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 89,95,44,52
Least Common Multiple of Numerators i.e. LCM of 89,95,44,52 is 4836260.
GCF of Denominators means GCF of 93,42,31,771 as per the given fractions.
GCF of 93,42,31,771 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,95,44,52
2 | 89, 95, 44, 52 |
2 | 89, 95, 22, 26 |
89, 95, 11, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 89 x 95 x 11 x 13 = 4836260
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 89,95,44,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,95,44,52) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(89,95,44,52) x common factors =1 x 4 = 4
LCM(89,95,44,52) = ( 89 × 95 × 44 × 52 ) / 4
LCM(89,95,44,52) = 19345040 / 4
LCM(89,95,44,52) = 4836260
Lets's calculate GCF of 93,42,31,771
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4836260/1
Therefore the LCM of Fractions 89/93,95/42,44/31,52/771 is 4836260
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Greatest Common Factor
We found the factors 93,42,31,771 . The biggest common factor number is the GCF number.
So the greatest common factor 93,42,31,771 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 89/93, 95/42, 44/31, 52/771?
Answer: LCM of Numerators as per given numbers 89/93, 95/42, 44/31, 52/771 is
LCM of Numerators i.e. for 89,95,44,52 is 4836260
GCF of denominators i.e. for 93,42,31,771 is 1.
Thus, LCM of Fractions is 4836260.Finally, LCM of Fractions for 89/93, 95/42, 44/31, 52/771 is 4836260.