Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 279/77, 195/74, 113/728 quickly i.e. 2049255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 279/77, 195/74, 113/728 is 2049255.
LCM(279/77, 195/74, 113/728) = 2049255
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 279/77,195/74,113/728
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 279,195,113
Least Common Multiple of Numerators i.e. LCM of 279,195,113 is 2049255.
GCF of Denominators means GCF of 77,74,728 as per the given fractions.
GCF of 77,74,728 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 279,195,113
3 | 279, 195, 113 |
93, 65, 113 |
∴ So the LCM of the given numbers is 3 x 93 x 65 x 113 = 2049255
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 279,195,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,195,113) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(279,195,113) x common factors =1 x 3 = 3
LCM(279,195,113) = ( 279 × 195 × 113 ) / 3
LCM(279,195,113) = 6147765 / 3
LCM(279,195,113) = 2049255
Lets's calculate GCF of 77,74,728
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2049255/1
Therefore the LCM of Fractions 279/77,195/74,113/728 is 2049255
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 77,74,728 . The biggest common factor number is the GCF number.
So the greatest common factor 77,74,728 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 279/77, 195/74, 113/728?
Answer: LCM of Numerators as per given numbers 279/77, 195/74, 113/728 is
LCM of Numerators i.e. for 279,195,113 is 2049255
GCF of denominators i.e. for 77,74,728 is 1.
Thus, LCM of Fractions is 2049255.Finally, LCM of Fractions for 279/77, 195/74, 113/728 is 2049255.