Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/46, 4/16, 94/68, 58/806 quickly i.e. 2726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/46, 4/16, 94/68, 58/806 is 2726.
LCM(1/46, 4/16, 94/68, 58/806) = 2726
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/46,4/16,94/68,58/806
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 1,4,94,58
Least Common Multiple of Numerators i.e. LCM of 1,4,94,58 is 5452.
GCF of Denominators means GCF of 46,16,68,806 as per the given fractions.
GCF of 46,16,68,806 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,4,94,58
2 | 1, 4, 94, 58 |
1, 2, 47, 29 |
∴ So the LCM of the given numbers is 2 x 1 x 2 x 47 x 29 = 5452
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 1,4,94,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,4,94,58) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(1,4,94,58) x common factors =1 x 4 = 4
LCM(1,4,94,58) = ( 1 × 4 × 94 × 58 ) / 4
LCM(1,4,94,58) = 21808 / 4
LCM(1,4,94,58) = 5452
Lets's calculate GCF of 46,16,68,806
2 | 46, 16, 68, 806 |
23, 8, 34, 403 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5452/2
Therefore the LCM of Fractions 1/46,4/16,94/68,58/806 is 2726
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Greatest Common Factor
We found the factors 46,16,68,806 . The biggest common factor number is the GCF number.
So the greatest common factor 46,16,68,806 is 2.
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 1/46, 4/16, 94/68, 58/806?
Answer: LCM of Numerators as per given numbers 1/46, 4/16, 94/68, 58/806 is
LCM of Numerators i.e. for 1,4,94,58 is 5452
GCF of denominators i.e. for 46,16,68,806 is 2.
Thus, LCM of Fractions is 2726.Finally, LCM of Fractions for 1/46, 4/16, 94/68, 58/806 is 2726.