Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/303, 901/734, 118/430 quickly i.e. 2551632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/303, 901/734, 118/430 is 2551632.
LCM(48/303, 901/734, 118/430) = 2551632
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/303,901/734,118/430
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 48,901,118
Least Common Multiple of Numerators i.e. LCM of 48,901,118 is 2551632.
GCF of Denominators means GCF of 303,734,430 as per the given fractions.
GCF of 303,734,430 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,901,118
2 | 48, 901, 118 |
24, 901, 59 |
∴ So the LCM of the given numbers is 2 x 24 x 901 x 59 = 2551632
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 48,901,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,901,118) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(48,901,118) x common factors =1 x 2 = 2
LCM(48,901,118) = ( 48 × 901 × 118 ) / 2
LCM(48,901,118) = 5103264 / 2
LCM(48,901,118) = 2551632
Lets's calculate GCF of 303,734,430
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2551632/1
Therefore the LCM of Fractions 48/303,901/734,118/430 is 2551632
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 303,734,430 . The biggest common factor number is the GCF number.
So the greatest common factor 303,734,430 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 48/303, 901/734, 118/430?
Answer: LCM of Numerators as per given numbers 48/303, 901/734, 118/430 is
LCM of Numerators i.e. for 48,901,118 is 2551632
GCF of denominators i.e. for 303,734,430 is 1.
Thus, LCM of Fractions is 2551632.Finally, LCM of Fractions for 48/303, 901/734, 118/430 is 2551632.