Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/82, 781/53, 465/756 quickly i.e. 363165 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/82, 781/53, 465/756 is 363165.
LCM(33/82, 781/53, 465/756) = 363165
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/82,781/53,465/756
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 33,781,465
Least Common Multiple of Numerators i.e. LCM of 33,781,465 is 363165.
GCF of Denominators means GCF of 82,53,756 as per the given fractions.
GCF of 82,53,756 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,781,465
3 | 33, 781, 465 |
11 | 11, 781, 155 |
1, 71, 155 |
∴ So the LCM of the given numbers is 3 x 11 x 1 x 71 x 155 = 363165
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 33,781,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,781,465) = 1
common factors(in case of two or more numbers have common factors) = 33
GCF(33,781,465) x common factors =1 x 33 = 33
LCM(33,781,465) = ( 33 × 781 × 465 ) / 33
LCM(33,781,465) = 11984445 / 33
LCM(33,781,465) = 363165
Lets's calculate GCF of 82,53,756
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 363165/1
Therefore the LCM of Fractions 33/82,781/53,465/756 is 363165
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 82,53,756 . The biggest common factor number is the GCF number.
So the greatest common factor 82,53,756 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 33/82, 781/53, 465/756?
Answer: LCM of Numerators as per given numbers 33/82, 781/53, 465/756 is
LCM of Numerators i.e. for 33,781,465 is 363165
GCF of denominators i.e. for 82,53,756 is 1.
Thus, LCM of Fractions is 363165.Finally, LCM of Fractions for 33/82, 781/53, 465/756 is 363165.