Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/11, 11/85, 836/758 quickly i.e. 39292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/11, 11/85, 836/758 is 39292.
LCM(47/11, 11/85, 836/758) = 39292
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/11,11/85,836/758
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 47,11,836
Least Common Multiple of Numerators i.e. LCM of 47,11,836 is 39292.
GCF of Denominators means GCF of 11,85,758 as per the given fractions.
GCF of 11,85,758 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,11,836
11 | 47, 11, 836 |
47, 1, 76 |
∴ So the LCM of the given numbers is 11 x 47 x 1 x 76 = 39292
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 47,11,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,11,836) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(47,11,836) x common factors =1 x 11 = 11
LCM(47,11,836) = ( 47 × 11 × 836 ) / 11
LCM(47,11,836) = 432212 / 11
LCM(47,11,836) = 39292
Lets's calculate GCF of 11,85,758
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39292/1
Therefore the LCM of Fractions 47/11,11/85,836/758 is 39292
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Greatest Common Factor
We found the factors 11,85,758 . The biggest common factor number is the GCF number.
So the greatest common factor 11,85,758 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 47/11, 11/85, 836/758?
Answer: LCM of Numerators as per given numbers 47/11, 11/85, 836/758 is
LCM of Numerators i.e. for 47,11,836 is 39292
GCF of denominators i.e. for 11,85,758 is 1.
Thus, LCM of Fractions is 39292.Finally, LCM of Fractions for 47/11, 11/85, 836/758 is 39292.