Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/92, 296/66, 845/208 quickly i.e. 375180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/92, 296/66, 845/208 is 375180.
LCM(39/92, 296/66, 845/208) = 375180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/92,296/66,845/208
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 39,296,845
Least Common Multiple of Numerators i.e. LCM of 39,296,845 is 750360.
GCF of Denominators means GCF of 92,66,208 as per the given fractions.
GCF of 92,66,208 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,296,845
13 | 39, 296, 845 |
3, 296, 65 |
∴ So the LCM of the given numbers is 13 x 3 x 296 x 65 = 750360
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 39,296,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,296,845) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(39,296,845) x common factors =1 x 13 = 13
LCM(39,296,845) = ( 39 × 296 × 845 ) / 13
LCM(39,296,845) = 9754680 / 13
LCM(39,296,845) = 750360
Lets's calculate GCF of 92,66,208
2 | 92, 66, 208 |
46, 33, 104 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 750360/2
Therefore the LCM of Fractions 39/92,296/66,845/208 is 375180
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
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 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Greatest Common Factor
We found the factors 92,66,208 . The biggest common factor number is the GCF number.
So the greatest common factor 92,66,208 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 39/92, 296/66, 845/208?
Answer: LCM of Numerators as per given numbers 39/92, 296/66, 845/208 is
LCM of Numerators i.e. for 39,296,845 is 750360
GCF of denominators i.e. for 92,66,208 is 2.
Thus, LCM of Fractions is 375180.Finally, LCM of Fractions for 39/92, 296/66, 845/208 is 375180.