Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 366/96, 907/66, 907/166 quickly i.e. 165981 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 366/96, 907/66, 907/166 is 165981.
LCM(366/96, 907/66, 907/166) = 165981
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 366/96,907/66,907/166
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 366,907,907
Least Common Multiple of Numerators i.e. LCM of 366,907,907 is 331962.
GCF of Denominators means GCF of 96,66,166 as per the given fractions.
GCF of 96,66,166 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 366,907,907
907 | 366, 907, 907 |
366, 1, 1 |
∴ So the LCM of the given numbers is 907 x 366 x 1 x 1 = 331962
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 366,907,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,907,907) = 1
common factors(in case of two or more numbers have common factors) = 907
GCF(366,907,907) x common factors =1 x 907 = 907
LCM(366,907,907) = ( 366 × 907 × 907 ) / 907
LCM(366,907,907) = 301089534 / 907
LCM(366,907,907) = 331962
Lets's calculate GCF of 96,66,166
2 | 96, 66, 166 |
48, 33, 83 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 331962/2
Therefore the LCM of Fractions 366/96,907/66,907/166 is 165981
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
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 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Greatest Common Factor
We found the factors 96,66,166 . The biggest common factor number is the GCF number.
So the greatest common factor 96,66,166 is 2.
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 366/96, 907/66, 907/166?
Answer: LCM of Numerators as per given numbers 366/96, 907/66, 907/166 is
LCM of Numerators i.e. for 366,907,907 is 331962
GCF of denominators i.e. for 96,66,166 is 2.
Thus, LCM of Fractions is 165981.Finally, LCM of Fractions for 366/96, 907/66, 907/166 is 165981.