Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/22, 34/77, 16/41, 68/411 quickly i.e. 26928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/22, 34/77, 16/41, 68/411 is 26928.
LCM(99/22, 34/77, 16/41, 68/411) = 26928
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/22,34/77,16/41,68/411
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 99,34,16,68
Least Common Multiple of Numerators i.e. LCM of 99,34,16,68 is 26928.
GCF of Denominators means GCF of 22,77,41,411 as per the given fractions.
GCF of 22,77,41,411 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,34,16,68
2 | 99, 34, 16, 68 |
2 | 99, 17, 8, 34 |
17 | 99, 17, 4, 17 |
99, 1, 4, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 99 x 1 x 4 x 1 = 26928
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 99,34,16,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,34,16,68) = 1
common factors(in case of two or more numbers have common factors) = 136
GCF(99,34,16,68) x common factors =1 x 136 = 136
LCM(99,34,16,68) = ( 99 × 34 × 16 × 68 ) / 136
LCM(99,34,16,68) = 3662208 / 136
LCM(99,34,16,68) = 26928
Lets's calculate GCF of 22,77,41,411
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26928/1
Therefore the LCM of Fractions 99/22,34/77,16/41,68/411 is 26928
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Greatest Common Factor
We found the factors 22,77,41,411 . The biggest common factor number is the GCF number.
So the greatest common factor 22,77,41,411 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 99/22, 34/77, 16/41, 68/411?
Answer: LCM of Numerators as per given numbers 99/22, 34/77, 16/41, 68/411 is
LCM of Numerators i.e. for 99,34,16,68 is 26928
GCF of denominators i.e. for 22,77,41,411 is 1.
Thus, LCM of Fractions is 26928.Finally, LCM of Fractions for 99/22, 34/77, 16/41, 68/411 is 26928.