Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/51, 61/30, 84/515 quickly i.e. 117852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/51, 61/30, 84/515 is 117852.
LCM(46/51, 61/30, 84/515) = 117852
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/51,61/30,84/515
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 46,61,84
Least Common Multiple of Numerators i.e. LCM of 46,61,84 is 117852.
GCF of Denominators means GCF of 51,30,515 as per the given fractions.
GCF of 51,30,515 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,61,84
2 | 46, 61, 84 |
23, 61, 42 |
∴ So the LCM of the given numbers is 2 x 23 x 61 x 42 = 117852
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 46,61,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,61,84) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(46,61,84) x common factors =1 x 2 = 2
LCM(46,61,84) = ( 46 × 61 × 84 ) / 2
LCM(46,61,84) = 235704 / 2
LCM(46,61,84) = 117852
Lets's calculate GCF of 51,30,515
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117852/1
Therefore the LCM of Fractions 46/51,61/30,84/515 is 117852
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Greatest Common Factor
We found the factors 51,30,515 . The biggest common factor number is the GCF number.
So the greatest common factor 51,30,515 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 46/51, 61/30, 84/515?
Answer: LCM of Numerators as per given numbers 46/51, 61/30, 84/515 is
LCM of Numerators i.e. for 46,61,84 is 117852
GCF of denominators i.e. for 51,30,515 is 1.
Thus, LCM of Fractions is 117852.Finally, LCM of Fractions for 46/51, 61/30, 84/515 is 117852.