Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/35, 35/865, 337/220 quickly i.e. 103796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/35, 35/865, 337/220 is 103796.
LCM(44/35, 35/865, 337/220) = 103796
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/35,35/865,337/220
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 44,35,337
Least Common Multiple of Numerators i.e. LCM of 44,35,337 is 518980.
GCF of Denominators means GCF of 35,865,220 as per the given fractions.
GCF of 35,865,220 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,35,337
Given numbers has no common factors except 1. So, there LCM is their product i.e 518980
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 44,35,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,35,337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,35,337) x common factors =1 x 1 = 1
LCM(44,35,337) = ( 44 × 35 × 337 ) / 1
LCM(44,35,337) = 518980 / 1
LCM(44,35,337) = 518980
Lets's calculate GCF of 35,865,220
5 | 35, 865, 220 |
7, 173, 44 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 518980/5
Therefore the LCM of Fractions 44/35,35/865,337/220 is 103796
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1,5,173,865
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 35,865,220 . The biggest common factor number is the GCF number.
So the greatest common factor 35,865,220 is 5.
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 44/35, 35/865, 337/220?
Answer: LCM of Numerators as per given numbers 44/35, 35/865, 337/220 is
LCM of Numerators i.e. for 44,35,337 is 518980
GCF of denominators i.e. for 35,865,220 is 5.
Thus, LCM of Fractions is 103796.Finally, LCM of Fractions for 44/35, 35/865, 337/220 is 103796.