Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/82, 84/74, 926/963 quickly i.e. 894516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/82, 84/74, 926/963 is 894516.
LCM(46/82, 84/74, 926/963) = 894516
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/82,84/74,926/963
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 46,84,926
Least Common Multiple of Numerators i.e. LCM of 46,84,926 is 894516.
GCF of Denominators means GCF of 82,74,963 as per the given fractions.
GCF of 82,74,963 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,84,926
2 | 46, 84, 926 |
23, 42, 463 |
∴ So the LCM of the given numbers is 2 x 23 x 42 x 463 = 894516
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 46,84,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,84,926) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(46,84,926) x common factors =2 x 2 = 4
LCM(46,84,926) = ( 46 × 84 × 926 ) / 4
LCM(46,84,926) = 3578064 / 4
LCM(46,84,926) = 894516
Lets's calculate GCF of 82,74,963
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 894516/1
Therefore the LCM of Fractions 46/82,84/74,926/963 is 894516
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Greatest Common Factor
We found the factors 82,74,963 . The biggest common factor number is the GCF number.
So the greatest common factor 82,74,963 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 46/82, 84/74, 926/963?
Answer: LCM of Numerators as per given numbers 46/82, 84/74, 926/963 is
LCM of Numerators i.e. for 46,84,926 is 894516
GCF of denominators i.e. for 82,74,963 is 1.
Thus, LCM of Fractions is 894516.Finally, LCM of Fractions for 46/82, 84/74, 926/963 is 894516.