Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/44, 73/66, 167/341 quickly i.e. 109719 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/44, 73/66, 167/341 is 109719.
LCM(99/44, 73/66, 167/341) = 109719
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/44,73/66,167/341
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 99,73,167
Least Common Multiple of Numerators i.e. LCM of 99,73,167 is 1206909.
GCF of Denominators means GCF of 44,66,341 as per the given fractions.
GCF of 44,66,341 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,73,167
Given numbers has no common factors except 1. So, there LCM is their product i.e 1206909
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 99,73,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,73,167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,73,167) x common factors =1 x 1 = 1
LCM(99,73,167) = ( 99 × 73 × 167 ) / 1
LCM(99,73,167) = 1206909 / 1
LCM(99,73,167) = 1206909
Lets's calculate GCF of 44,66,341
11 | 44, 66, 341 |
4, 6, 31 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1206909/11
Therefore the LCM of Fractions 99/44,73/66,167/341 is 109719
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Greatest Common Factor
We found the factors 44,66,341 . The biggest common factor number is the GCF number.
So the greatest common factor 44,66,341 is 11.
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 99/44, 73/66, 167/341?
Answer: LCM of Numerators as per given numbers 99/44, 73/66, 167/341 is
LCM of Numerators i.e. for 99,73,167 is 1206909
GCF of denominators i.e. for 44,66,341 is 11.
Thus, LCM of Fractions is 109719.Finally, LCM of Fractions for 99/44, 73/66, 167/341 is 109719.