Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4258/136, 7421/197 quickly i.e. 31598618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4258/136, 7421/197 is 31598618.
LCM(4258/136, 7421/197) = 31598618
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4258/136,7421/197
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 4258,7421
Least Common Multiple of Numerators i.e. LCM of 4258,7421 is 31598618.
GCF of Denominators means GCF of 136,197 as per the given fractions.
GCF of 136,197 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4258,7421
Given numbers has no common factors except 1. So, there LCM is their product i.e 31598618
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 4258,7421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4258,7421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4258,7421) x common factors =1 x 1 = 1
LCM(4258,7421) = ( 4258 × 7421 ) / 1
LCM(4258,7421) = 31598618 / 1
LCM(4258,7421) = 31598618
Lets's calculate GCF of 136,197
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31598618/1
Therefore the LCM of Fractions 4258/136,7421/197 is 31598618
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Greatest Common Factor
We found the factors 136,197 . The biggest common factor number is the GCF number.
So the greatest common factor 136,197 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 4258/136, 7421/197?
Answer: LCM of Numerators as per given numbers 4258/136, 7421/197 is
LCM of Numerators i.e. for 4258,7421 is 31598618
GCF of denominators i.e. for 136,197 is 1.
Thus, LCM of Fractions is 31598618.Finally, LCM of Fractions for 4258/136, 7421/197 is 31598618.