Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/38, 41/28, 46/29, 284/12 quickly i.e. 8302172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/38, 41/28, 46/29, 284/12 is 8302172.
LCM(62/38, 41/28, 46/29, 284/12) = 8302172
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/38,41/28,46/29,284/12
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 62,41,46,284
Least Common Multiple of Numerators i.e. LCM of 62,41,46,284 is 8302172.
GCF of Denominators means GCF of 38,28,29,12 as per the given fractions.
GCF of 38,28,29,12 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,41,46,284
2 | 62, 41, 46, 284 |
31, 41, 23, 142 |
∴ So the LCM of the given numbers is 2 x 31 x 41 x 23 x 142 = 8302172
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 62,41,46,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,41,46,284) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(62,41,46,284) x common factors =1 x 4 = 4
LCM(62,41,46,284) = ( 62 × 41 × 46 × 284 ) / 4
LCM(62,41,46,284) = 33208688 / 4
LCM(62,41,46,284) = 8302172
Lets's calculate GCF of 38,28,29,12
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8302172/1
Therefore the LCM of Fractions 62/38,41/28,46/29,284/12 is 8302172
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Greatest Common Factor
We found the factors 38,28,29,12 . The biggest common factor number is the GCF number.
So the greatest common factor 38,28,29,12 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 62/38, 41/28, 46/29, 284/12?
Answer: LCM of Numerators as per given numbers 62/38, 41/28, 46/29, 284/12 is
LCM of Numerators i.e. for 62,41,46,284 is 8302172
GCF of denominators i.e. for 38,28,29,12 is 1.
Thus, LCM of Fractions is 8302172.Finally, LCM of Fractions for 62/38, 41/28, 46/29, 284/12 is 8302172.