Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/947, 17/634, 636/183 quickly i.e. 140556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/947, 17/634, 636/183 is 140556.
LCM(39/947, 17/634, 636/183) = 140556
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/947,17/634,636/183
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 39,17,636
Least Common Multiple of Numerators i.e. LCM of 39,17,636 is 140556.
GCF of Denominators means GCF of 947,634,183 as per the given fractions.
GCF of 947,634,183 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,17,636
3 | 39, 17, 636 |
13, 17, 212 |
∴ So the LCM of the given numbers is 3 x 13 x 17 x 212 = 140556
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 39,17,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,17,636) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(39,17,636) x common factors =1 x 3 = 3
LCM(39,17,636) = ( 39 × 17 × 636 ) / 3
LCM(39,17,636) = 421668 / 3
LCM(39,17,636) = 140556
Lets's calculate GCF of 947,634,183
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140556/1
Therefore the LCM of Fractions 39/947,17/634,636/183 is 140556
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Greatest Common Factor
We found the factors 947,634,183 . The biggest common factor number is the GCF number.
So the greatest common factor 947,634,183 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 39/947, 17/634, 636/183?
Answer: LCM of Numerators as per given numbers 39/947, 17/634, 636/183 is
LCM of Numerators i.e. for 39,17,636 is 140556
GCF of denominators i.e. for 947,634,183 is 1.
Thus, LCM of Fractions is 140556.Finally, LCM of Fractions for 39/947, 17/634, 636/183 is 140556.