Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/149, 3244/7290 quickly i.e. 204372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/149, 3244/7290 is 204372.
LCM(63/149, 3244/7290) = 204372
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/149,3244/7290
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 63,3244
Least Common Multiple of Numerators i.e. LCM of 63,3244 is 204372.
GCF of Denominators means GCF of 149,7290 as per the given fractions.
GCF of 149,7290 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,3244
Given numbers has no common factors except 1. So, there LCM is their product i.e 204372
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 63,3244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,3244) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,3244) x common factors =1 x 1 = 1
LCM(63,3244) = ( 63 × 3244 ) / 1
LCM(63,3244) = 204372 / 1
LCM(63,3244) = 204372
Lets's calculate GCF of 149,7290
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204372/1
Therefore the LCM of Fractions 63/149,3244/7290 is 204372
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Factors of 7290
List of positive integer factors of 7290 that divides 7290 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,729,810,1215,1458,2430,3645,7290
Greatest Common Factor
We found the factors 149,7290 . The biggest common factor number is the GCF number.
So the greatest common factor 149,7290 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 63/149, 3244/7290?
Answer: LCM of Numerators as per given numbers 63/149, 3244/7290 is
LCM of Numerators i.e. for 63,3244 is 204372
GCF of denominators i.e. for 149,7290 is 1.
Thus, LCM of Fractions is 204372.Finally, LCM of Fractions for 63/149, 3244/7290 is 204372.