Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/598, 9346/3236 quickly i.e. 257015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/598, 9346/3236 is 257015.
LCM(55/598, 9346/3236) = 257015
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/598,9346/3236
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 55,9346
Least Common Multiple of Numerators i.e. LCM of 55,9346 is 514030.
GCF of Denominators means GCF of 598,3236 as per the given fractions.
GCF of 598,3236 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,9346
Given numbers has no common factors except 1. So, there LCM is their product i.e 514030
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 55,9346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,9346) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,9346) x common factors =1 x 1 = 1
LCM(55,9346) = ( 55 × 9346 ) / 1
LCM(55,9346) = 514030 / 1
LCM(55,9346) = 514030
Lets's calculate GCF of 598,3236
2 | 598, 3236 |
299, 1618 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 514030/2
Therefore the LCM of Fractions 55/598,9346/3236 is 257015
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Factors of 3236
List of positive integer factors of 3236 that divides 3236 without a remainder.
1,2,4,809,1618,3236
Greatest Common Factor
We found the factors 598,3236 . The biggest common factor number is the GCF number.
So the greatest common factor 598,3236 is 2.
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 55/598, 9346/3236?
Answer: LCM of Numerators as per given numbers 55/598, 9346/3236 is
LCM of Numerators i.e. for 55,9346 is 514030
GCF of denominators i.e. for 598,3236 is 2.
Thus, LCM of Fractions is 257015.Finally, LCM of Fractions for 55/598, 9346/3236 is 257015.