Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/63, 62/16, 74/94, 77/863 quickly i.e. 5652416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/63, 62/16, 74/94, 77/863 is 5652416.
LCM(64/63, 62/16, 74/94, 77/863) = 5652416
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/63,62/16,74/94,77/863
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 64,62,74,77
Least Common Multiple of Numerators i.e. LCM of 64,62,74,77 is 5652416.
GCF of Denominators means GCF of 63,16,94,863 as per the given fractions.
GCF of 63,16,94,863 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,62,74,77
2 | 64, 62, 74, 77 |
32, 31, 37, 77 |
∴ So the LCM of the given numbers is 2 x 32 x 31 x 37 x 77 = 5652416
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 64,62,74,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,62,74,77) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(64,62,74,77) x common factors =1 x 4 = 4
LCM(64,62,74,77) = ( 64 × 62 × 74 × 77 ) / 4
LCM(64,62,74,77) = 22609664 / 4
LCM(64,62,74,77) = 5652416
Lets's calculate GCF of 63,16,94,863
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5652416/1
Therefore the LCM of Fractions 64/63,62/16,74/94,77/863 is 5652416
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Greatest Common Factor
We found the factors 63,16,94,863 . The biggest common factor number is the GCF number.
So the greatest common factor 63,16,94,863 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 64/63, 62/16, 74/94, 77/863?
Answer: LCM of Numerators as per given numbers 64/63, 62/16, 74/94, 77/863 is
LCM of Numerators i.e. for 64,62,74,77 is 5652416
GCF of denominators i.e. for 63,16,94,863 is 1.
Thus, LCM of Fractions is 5652416.Finally, LCM of Fractions for 64/63, 62/16, 74/94, 77/863 is 5652416.