Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/302, 40/455, 944/119 quickly i.e. 33040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/302, 40/455, 944/119 is 33040.
LCM(14/302, 40/455, 944/119) = 33040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/302,40/455,944/119
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 14,40,944
Least Common Multiple of Numerators i.e. LCM of 14,40,944 is 33040.
GCF of Denominators means GCF of 302,455,119 as per the given fractions.
GCF of 302,455,119 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,40,944
2 | 14, 40, 944 |
2 | 7, 20, 472 |
2 | 7, 10, 236 |
7, 5, 118 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 5 x 118 = 33040
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 14,40,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,40,944) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(14,40,944) x common factors =2 x 8 = 16
LCM(14,40,944) = ( 14 × 40 × 944 ) / 16
LCM(14,40,944) = 528640 / 16
LCM(14,40,944) = 33040
Lets's calculate GCF of 302,455,119
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33040/1
Therefore the LCM of Fractions 14/302,40/455,944/119 is 33040
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Greatest Common Factor
We found the factors 302,455,119 . The biggest common factor number is the GCF number.
So the greatest common factor 302,455,119 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 14/302, 40/455, 944/119?
Answer: LCM of Numerators as per given numbers 14/302, 40/455, 944/119 is
LCM of Numerators i.e. for 14,40,944 is 33040
GCF of denominators i.e. for 302,455,119 is 1.
Thus, LCM of Fractions is 33040.Finally, LCM of Fractions for 14/302, 40/455, 944/119 is 33040.