Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/869, 42/418, 793/814 quickly i.e. 766038/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/869, 42/418, 793/814 is 766038/11.
LCM(46/869, 42/418, 793/814) = 766038/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/869,42/418,793/814
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 46,42,793
Least Common Multiple of Numerators i.e. LCM of 46,42,793 is 766038.
GCF of Denominators means GCF of 869,418,814 as per the given fractions.
GCF of 869,418,814 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,42,793
2 | 46, 42, 793 |
23, 21, 793 |
∴ So the LCM of the given numbers is 2 x 23 x 21 x 793 = 766038
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 46,42,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,42,793) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(46,42,793) x common factors =1 x 2 = 2
LCM(46,42,793) = ( 46 × 42 × 793 ) / 2
LCM(46,42,793) = 1532076 / 2
LCM(46,42,793) = 766038
Lets's calculate GCF of 869,418,814
11 | 869, 418, 814 |
79, 38, 74 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 766038/11
Therefore the LCM of Fractions 46/869,42/418,793/814 is 766038/11
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Factors of 814
List of positive integer factors of 814 that divides 814 without a remainder.
1,2,11,22,37,74,407,814
Greatest Common Factor
We found the factors 869,418,814 . The biggest common factor number is the GCF number.
So the greatest common factor 869,418,814 is 11.
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 46/869, 42/418, 793/814?
Answer: LCM of Numerators as per given numbers 46/869, 42/418, 793/814 is
LCM of Numerators i.e. for 46,42,793 is 766038
GCF of denominators i.e. for 869,418,814 is 11.
Thus, LCM of Fractions is 766038/11.Finally, LCM of Fractions for 46/869, 42/418, 793/814 is 766038/11.