Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 424/74, 121/2086 quickly i.e. 25652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 424/74, 121/2086 is 25652.
LCM(424/74, 121/2086) = 25652
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 424/74,121/2086
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 424,121
Least Common Multiple of Numerators i.e. LCM of 424,121 is 51304.
GCF of Denominators means GCF of 74,2086 as per the given fractions.
GCF of 74,2086 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 424,121
Given numbers has no common factors except 1. So, there LCM is their product i.e 51304
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 424,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(424,121) x common factors =1 x 1 = 1
LCM(424,121) = ( 424 × 121 ) / 1
LCM(424,121) = 51304 / 1
LCM(424,121) = 51304
Lets's calculate GCF of 74,2086
2 | 74, 2086 |
37, 1043 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51304/2
Therefore the LCM of Fractions 424/74,121/2086 is 25652
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 2086
List of positive integer factors of 2086 that divides 2086 without a remainder.
1,2,7,14,149,298,1043,2086
Greatest Common Factor
We found the factors 74,2086 . The biggest common factor number is the GCF number.
So the greatest common factor 74,2086 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 424/74, 121/2086?
Answer: LCM of Numerators as per given numbers 424/74, 121/2086 is
LCM of Numerators i.e. for 424,121 is 51304
GCF of denominators i.e. for 74,2086 is 2.
Thus, LCM of Fractions is 25652.Finally, LCM of Fractions for 424/74, 121/2086 is 25652.