Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 502/58, 2195/957 quickly i.e. 1101890/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 502/58, 2195/957 is 1101890/29.
LCM(502/58, 2195/957) = 1101890/29
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 502/58,2195/957
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 502,2195
Least Common Multiple of Numerators i.e. LCM of 502,2195 is 1101890.
GCF of Denominators means GCF of 58,957 as per the given fractions.
GCF of 58,957 is 29 as it is the largest common factor for these numbers.
Lets's calculate LCM of 502,2195
Given numbers has no common factors except 1. So, there LCM is their product i.e 1101890
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 502,2195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,2195) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(502,2195) x common factors =1 x 1 = 1
LCM(502,2195) = ( 502 × 2195 ) / 1
LCM(502,2195) = 1101890 / 1
LCM(502,2195) = 1101890
Lets's calculate GCF of 58,957
29 | 58, 957 |
2, 33 |
∴ So the GCF of the given numbers is 29 = 29
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1101890/29
Therefore the LCM of Fractions 502/58,2195/957 is 1101890/29
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Greatest Common Factor
We found the factors 58,957 . The biggest common factor number is the GCF number.
So the greatest common factor 58,957 is 29.
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 502/58, 2195/957?
Answer: LCM of Numerators as per given numbers 502/58, 2195/957 is
LCM of Numerators i.e. for 502,2195 is 1101890
GCF of denominators i.e. for 58,957 is 29.
Thus, LCM of Fractions is 1101890/29.Finally, LCM of Fractions for 502/58, 2195/957 is 1101890/29.