Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/196, 4607/4402 quickly i.e. 147424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/196, 4607/4402 is 147424.
LCM(64/196, 4607/4402) = 147424
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/196,4607/4402
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 64,4607
Least Common Multiple of Numerators i.e. LCM of 64,4607 is 294848.
GCF of Denominators means GCF of 196,4402 as per the given fractions.
GCF of 196,4402 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,4607
Given numbers has no common factors except 1. So, there LCM is their product i.e 294848
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 64,4607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,4607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,4607) x common factors =1 x 1 = 1
LCM(64,4607) = ( 64 × 4607 ) / 1
LCM(64,4607) = 294848 / 1
LCM(64,4607) = 294848
Lets's calculate GCF of 196,4402
2 | 196, 4402 |
98, 2201 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 294848/2
Therefore the LCM of Fractions 64/196,4607/4402 is 147424
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Factors of 4402
List of positive integer factors of 4402 that divides 4402 without a remainder.
1,2,31,62,71,142,2201,4402
Greatest Common Factor
We found the factors 196,4402 . The biggest common factor number is the GCF number.
So the greatest common factor 196,4402 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 64/196, 4607/4402?
Answer: LCM of Numerators as per given numbers 64/196, 4607/4402 is
LCM of Numerators i.e. for 64,4607 is 294848
GCF of denominators i.e. for 196,4402 is 2.
Thus, LCM of Fractions is 147424.Finally, LCM of Fractions for 64/196, 4607/4402 is 147424.