Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 885/497, 100/550, 236/132 quickly i.e. 17700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 885/497, 100/550, 236/132 is 17700.
LCM(885/497, 100/550, 236/132) = 17700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 885/497,100/550,236/132
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 885,100,236
Least Common Multiple of Numerators i.e. LCM of 885,100,236 is 17700.
GCF of Denominators means GCF of 497,550,132 as per the given fractions.
GCF of 497,550,132 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 885,100,236
2 | 885, 100, 236 |
2 | 885, 50, 118 |
5 | 885, 25, 59 |
59 | 177, 5, 59 |
3, 5, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 59 x 3 x 5 x 1 = 17700
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 885,100,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,100,236) = 1
common factors(in case of two or more numbers have common factors) = 1180
GCF(885,100,236) x common factors =1 x 1180 = 1180
LCM(885,100,236) = ( 885 × 100 × 236 ) / 1180
LCM(885,100,236) = 20886000 / 1180
LCM(885,100,236) = 17700
Lets's calculate GCF of 497,550,132
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17700/1
Therefore the LCM of Fractions 885/497,100/550,236/132 is 17700
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 497,550,132 . The biggest common factor number is the GCF number.
So the greatest common factor 497,550,132 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 885/497, 100/550, 236/132?
Answer: LCM of Numerators as per given numbers 885/497, 100/550, 236/132 is
LCM of Numerators i.e. for 885,100,236 is 17700
GCF of denominators i.e. for 497,550,132 is 1.
Thus, LCM of Fractions is 17700.Finally, LCM of Fractions for 885/497, 100/550, 236/132 is 17700.