Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/46, 44/52, 83/646 quickly i.e. 34694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/46, 44/52, 83/646 is 34694.
LCM(76/46, 44/52, 83/646) = 34694
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/46,44/52,83/646
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 76,44,83
Least Common Multiple of Numerators i.e. LCM of 76,44,83 is 69388.
GCF of Denominators means GCF of 46,52,646 as per the given fractions.
GCF of 46,52,646 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,44,83
2 | 76, 44, 83 |
2 | 38, 22, 83 |
19, 11, 83 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 11 x 83 = 69388
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 76,44,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,44,83) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(76,44,83) x common factors =1 x 4 = 4
LCM(76,44,83) = ( 76 × 44 × 83 ) / 4
LCM(76,44,83) = 277552 / 4
LCM(76,44,83) = 69388
Lets's calculate GCF of 46,52,646
2 | 46, 52, 646 |
23, 26, 323 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69388/2
Therefore the LCM of Fractions 76/46,44/52,83/646 is 34694
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Greatest Common Factor
We found the factors 46,52,646 . The biggest common factor number is the GCF number.
So the greatest common factor 46,52,646 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 76/46, 44/52, 83/646?
Answer: LCM of Numerators as per given numbers 76/46, 44/52, 83/646 is
LCM of Numerators i.e. for 76,44,83 is 69388
GCF of denominators i.e. for 46,52,646 is 2.
Thus, LCM of Fractions is 34694.Finally, LCM of Fractions for 76/46, 44/52, 83/646 is 34694.