Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/884, 132/801, 111/688 quickly i.e. 229548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/884, 132/801, 111/688 is 229548.
LCM(47/884, 132/801, 111/688) = 229548
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/884,132/801,111/688
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 47,132,111
Least Common Multiple of Numerators i.e. LCM of 47,132,111 is 229548.
GCF of Denominators means GCF of 884,801,688 as per the given fractions.
GCF of 884,801,688 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,132,111
3 | 47, 132, 111 |
47, 44, 37 |
∴ So the LCM of the given numbers is 3 x 47 x 44 x 37 = 229548
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 47,132,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,132,111) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(47,132,111) x common factors =1 x 3 = 3
LCM(47,132,111) = ( 47 × 132 × 111 ) / 3
LCM(47,132,111) = 688644 / 3
LCM(47,132,111) = 229548
Lets's calculate GCF of 884,801,688
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229548/1
Therefore the LCM of Fractions 47/884,132/801,111/688 is 229548
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 884,801,688 . The biggest common factor number is the GCF number.
So the greatest common factor 884,801,688 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 47/884, 132/801, 111/688?
Answer: LCM of Numerators as per given numbers 47/884, 132/801, 111/688 is
LCM of Numerators i.e. for 47,132,111 is 229548
GCF of denominators i.e. for 884,801,688 is 1.
Thus, LCM of Fractions is 229548.Finally, LCM of Fractions for 47/884, 132/801, 111/688 is 229548.