Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9043/839, 5549/8140 quickly i.e. 50179607 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9043/839, 5549/8140 is 50179607.
LCM(9043/839, 5549/8140) = 50179607
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9043/839,5549/8140
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 9043,5549
Least Common Multiple of Numerators i.e. LCM of 9043,5549 is 50179607.
GCF of Denominators means GCF of 839,8140 as per the given fractions.
GCF of 839,8140 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9043,5549
Given numbers has no common factors except 1. So, there LCM is their product i.e 50179607
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 9043,5549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9043,5549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9043,5549) x common factors =1 x 1 = 1
LCM(9043,5549) = ( 9043 × 5549 ) / 1
LCM(9043,5549) = 50179607 / 1
LCM(9043,5549) = 50179607
Lets's calculate GCF of 839,8140
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50179607/1
Therefore the LCM of Fractions 9043/839,5549/8140 is 50179607
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Factors of 8140
List of positive integer factors of 8140 that divides 8140 without a remainder.
1,2,4,5,10,11,20,22,37,44,55,74,110,148,185,220,370,407,740,814,1628,2035,4070,8140
Greatest Common Factor
We found the factors 839,8140 . The biggest common factor number is the GCF number.
So the greatest common factor 839,8140 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 9043/839, 5549/8140?
Answer: LCM of Numerators as per given numbers 9043/839, 5549/8140 is
LCM of Numerators i.e. for 9043,5549 is 50179607
GCF of denominators i.e. for 839,8140 is 1.
Thus, LCM of Fractions is 50179607.Finally, LCM of Fractions for 9043/839, 5549/8140 is 50179607.