Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/303, 71/804, 98/151 quickly i.e. 13916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/303, 71/804, 98/151 is 13916.
LCM(4/303, 71/804, 98/151) = 13916
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/303,71/804,98/151
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 4,71,98
Least Common Multiple of Numerators i.e. LCM of 4,71,98 is 13916.
GCF of Denominators means GCF of 303,804,151 as per the given fractions.
GCF of 303,804,151 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,71,98
2 | 4, 71, 98 |
2, 71, 49 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 49 = 13916
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 4,71,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,71,98) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(4,71,98) x common factors =1 x 2 = 2
LCM(4,71,98) = ( 4 × 71 × 98 ) / 2
LCM(4,71,98) = 27832 / 2
LCM(4,71,98) = 13916
Lets's calculate GCF of 303,804,151
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13916/1
Therefore the LCM of Fractions 4/303,71/804,98/151 is 13916
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Greatest Common Factor
We found the factors 303,804,151 . The biggest common factor number is the GCF number.
So the greatest common factor 303,804,151 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 4/303, 71/804, 98/151?
Answer: LCM of Numerators as per given numbers 4/303, 71/804, 98/151 is
LCM of Numerators i.e. for 4,71,98 is 13916
GCF of denominators i.e. for 303,804,151 is 1.
Thus, LCM of Fractions is 13916.Finally, LCM of Fractions for 4/303, 71/804, 98/151 is 13916.