Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/917, 50/940, 631/802 quickly i.e. 1230450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/917, 50/940, 631/802 is 1230450.
LCM(39/917, 50/940, 631/802) = 1230450
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/917,50/940,631/802
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 39,50,631
Least Common Multiple of Numerators i.e. LCM of 39,50,631 is 1230450.
GCF of Denominators means GCF of 917,940,802 as per the given fractions.
GCF of 917,940,802 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,50,631
Given numbers has no common factors except 1. So, there LCM is their product i.e 1230450
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 39,50,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,50,631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,50,631) x common factors =1 x 1 = 1
LCM(39,50,631) = ( 39 × 50 × 631 ) / 1
LCM(39,50,631) = 1230450 / 1
LCM(39,50,631) = 1230450
Lets's calculate GCF of 917,940,802
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1230450/1
Therefore the LCM of Fractions 39/917,50/940,631/802 is 1230450
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Greatest Common Factor
We found the factors 917,940,802 . The biggest common factor number is the GCF number.
So the greatest common factor 917,940,802 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 39/917, 50/940, 631/802?
Answer: LCM of Numerators as per given numbers 39/917, 50/940, 631/802 is
LCM of Numerators i.e. for 39,50,631 is 1230450
GCF of denominators i.e. for 917,940,802 is 1.
Thus, LCM of Fractions is 1230450.Finally, LCM of Fractions for 39/917, 50/940, 631/802 is 1230450.