Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/85, 95/16, 57/93, 63/634 quickly i.e. 23940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/85, 95/16, 57/93, 63/634 is 23940.
LCM(76/85, 95/16, 57/93, 63/634) = 23940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/85,95/16,57/93,63/634
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 76,95,57,63
Least Common Multiple of Numerators i.e. LCM of 76,95,57,63 is 23940.
GCF of Denominators means GCF of 85,16,93,634 as per the given fractions.
GCF of 85,16,93,634 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,95,57,63
3 | 76, 95, 57, 63 |
19 | 76, 95, 19, 21 |
4, 5, 1, 21 |
∴ So the LCM of the given numbers is 3 x 19 x 4 x 5 x 1 x 21 = 23940
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 76,95,57,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,95,57,63) = 1
common factors(in case of two or more numbers have common factors) = 1083
GCF(76,95,57,63) x common factors =1 x 1083 = 1083
LCM(76,95,57,63) = ( 76 × 95 × 57 × 63 ) / 1083
LCM(76,95,57,63) = 25927020 / 1083
LCM(76,95,57,63) = 23940
Lets's calculate GCF of 85,16,93,634
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23940/1
Therefore the LCM of Fractions 76/85,95/16,57/93,63/634 is 23940
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Greatest Common Factor
We found the factors 85,16,93,634 . The biggest common factor number is the GCF number.
So the greatest common factor 85,16,93,634 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 76/85, 95/16, 57/93, 63/634?
Answer: LCM of Numerators as per given numbers 76/85, 95/16, 57/93, 63/634 is
LCM of Numerators i.e. for 76,95,57,63 is 23940
GCF of denominators i.e. for 85,16,93,634 is 1.
Thus, LCM of Fractions is 23940.Finally, LCM of Fractions for 76/85, 95/16, 57/93, 63/634 is 23940.