Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/902, 44/771, 198/216 quickly i.e. 26532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/902, 44/771, 198/216 is 26532.
LCM(67/902, 44/771, 198/216) = 26532
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/902,44/771,198/216
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 67,44,198
Least Common Multiple of Numerators i.e. LCM of 67,44,198 is 26532.
GCF of Denominators means GCF of 902,771,216 as per the given fractions.
GCF of 902,771,216 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,44,198
2 | 67, 44, 198 |
11 | 67, 22, 99 |
67, 2, 9 |
∴ So the LCM of the given numbers is 2 x 11 x 67 x 2 x 9 = 26532
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 67,44,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,44,198) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(67,44,198) x common factors =1 x 22 = 22
LCM(67,44,198) = ( 67 × 44 × 198 ) / 22
LCM(67,44,198) = 583704 / 22
LCM(67,44,198) = 26532
Lets's calculate GCF of 902,771,216
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26532/1
Therefore the LCM of Fractions 67/902,44/771,198/216 is 26532
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Greatest Common Factor
We found the factors 902,771,216 . The biggest common factor number is the GCF number.
So the greatest common factor 902,771,216 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 67/902, 44/771, 198/216?
Answer: LCM of Numerators as per given numbers 67/902, 44/771, 198/216 is
LCM of Numerators i.e. for 67,44,198 is 26532
GCF of denominators i.e. for 902,771,216 is 1.
Thus, LCM of Fractions is 26532.Finally, LCM of Fractions for 67/902, 44/771, 198/216 is 26532.