Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 145/62, 323/1226 quickly i.e. 46835/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 145/62, 323/1226 is 46835/2.
LCM(145/62, 323/1226) = 46835/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 145/62,323/1226
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 145,323
Least Common Multiple of Numerators i.e. LCM of 145,323 is 46835.
GCF of Denominators means GCF of 62,1226 as per the given fractions.
GCF of 62,1226 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 145,323
Given numbers has no common factors except 1. So, there LCM is their product i.e 46835
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 145,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(145,323) x common factors =1 x 1 = 1
LCM(145,323) = ( 145 × 323 ) / 1
LCM(145,323) = 46835 / 1
LCM(145,323) = 46835
Lets's calculate GCF of 62,1226
2 | 62, 1226 |
31, 613 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46835/2
Therefore the LCM of Fractions 145/62,323/1226 is 46835/2
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 1226
List of positive integer factors of 1226 that divides 1226 without a remainder.
1,2,613,1226
Greatest Common Factor
We found the factors 62,1226 . The biggest common factor number is the GCF number.
So the greatest common factor 62,1226 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 145/62, 323/1226?
Answer: LCM of Numerators as per given numbers 145/62, 323/1226 is
LCM of Numerators i.e. for 145,323 is 46835
GCF of denominators i.e. for 62,1226 is 2.
Thus, LCM of Fractions is 46835/2.Finally, LCM of Fractions for 145/62, 323/1226 is 46835/2.