Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/296, 52/301, 903/412 quickly i.e. 140868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/296, 52/301, 903/412 is 140868.
LCM(63/296, 52/301, 903/412) = 140868
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/296,52/301,903/412
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 63,52,903
Least Common Multiple of Numerators i.e. LCM of 63,52,903 is 140868.
GCF of Denominators means GCF of 296,301,412 as per the given fractions.
GCF of 296,301,412 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,52,903
3 | 63, 52, 903 |
7 | 21, 52, 301 |
3, 52, 43 |
∴ So the LCM of the given numbers is 3 x 7 x 3 x 52 x 43 = 140868
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 63,52,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,52,903) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(63,52,903) x common factors =1 x 21 = 21
LCM(63,52,903) = ( 63 × 52 × 903 ) / 21
LCM(63,52,903) = 2958228 / 21
LCM(63,52,903) = 140868
Lets's calculate GCF of 296,301,412
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140868/1
Therefore the LCM of Fractions 63/296,52/301,903/412 is 140868
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Greatest Common Factor
We found the factors 296,301,412 . The biggest common factor number is the GCF number.
So the greatest common factor 296,301,412 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 63/296, 52/301, 903/412?
Answer: LCM of Numerators as per given numbers 63/296, 52/301, 903/412 is
LCM of Numerators i.e. for 63,52,903 is 140868
GCF of denominators i.e. for 296,301,412 is 1.
Thus, LCM of Fractions is 140868.Finally, LCM of Fractions for 63/296, 52/301, 903/412 is 140868.