Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 416/44, 797/83, 370/512 quickly i.e. 61337120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 416/44, 797/83, 370/512 is 61337120.
LCM(416/44, 797/83, 370/512) = 61337120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 416/44,797/83,370/512
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 416,797,370
Least Common Multiple of Numerators i.e. LCM of 416,797,370 is 61337120.
GCF of Denominators means GCF of 44,83,512 as per the given fractions.
GCF of 44,83,512 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 416,797,370
2 | 416, 797, 370 |
208, 797, 185 |
∴ So the LCM of the given numbers is 2 x 208 x 797 x 185 = 61337120
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 416,797,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,797,370) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(416,797,370) x common factors =1 x 2 = 2
LCM(416,797,370) = ( 416 × 797 × 370 ) / 2
LCM(416,797,370) = 122674240 / 2
LCM(416,797,370) = 61337120
Lets's calculate GCF of 44,83,512
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61337120/1
Therefore the LCM of Fractions 416/44,797/83,370/512 is 61337120
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 44,83,512 . The biggest common factor number is the GCF number.
So the greatest common factor 44,83,512 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 416/44, 797/83, 370/512?
Answer: LCM of Numerators as per given numbers 416/44, 797/83, 370/512 is
LCM of Numerators i.e. for 416,797,370 is 61337120
GCF of denominators i.e. for 44,83,512 is 1.
Thus, LCM of Fractions is 61337120.Finally, LCM of Fractions for 416/44, 797/83, 370/512 is 61337120.