Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/716, 30/725, 445/807 quickly i.e. 109470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/716, 30/725, 445/807 is 109470.
LCM(82/716, 30/725, 445/807) = 109470
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/716,30/725,445/807
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 82,30,445
Least Common Multiple of Numerators i.e. LCM of 82,30,445 is 109470.
GCF of Denominators means GCF of 716,725,807 as per the given fractions.
GCF of 716,725,807 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,30,445
2 | 82, 30, 445 |
5 | 41, 15, 445 |
41, 3, 89 |
∴ So the LCM of the given numbers is 2 x 5 x 41 x 3 x 89 = 109470
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 82,30,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,30,445) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(82,30,445) x common factors =1 x 10 = 10
LCM(82,30,445) = ( 82 × 30 × 445 ) / 10
LCM(82,30,445) = 1094700 / 10
LCM(82,30,445) = 109470
Lets's calculate GCF of 716,725,807
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109470/1
Therefore the LCM of Fractions 82/716,30/725,445/807 is 109470
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1,5,25,29,145,725
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Greatest Common Factor
We found the factors 716,725,807 . The biggest common factor number is the GCF number.
So the greatest common factor 716,725,807 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 82/716, 30/725, 445/807?
Answer: LCM of Numerators as per given numbers 82/716, 30/725, 445/807 is
LCM of Numerators i.e. for 82,30,445 is 109470
GCF of denominators i.e. for 716,725,807 is 1.
Thus, LCM of Fractions is 109470.Finally, LCM of Fractions for 82/716, 30/725, 445/807 is 109470.