Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/826, 647/126, 333/166 quickly i.e. 15297021/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/826, 647/126, 333/166 is 15297021/2.
LCM(71/826, 647/126, 333/166) = 15297021/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/826,647/126,333/166
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 71,647,333
Least Common Multiple of Numerators i.e. LCM of 71,647,333 is 15297021.
GCF of Denominators means GCF of 826,126,166 as per the given fractions.
GCF of 826,126,166 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,647,333
Given numbers has no common factors except 1. So, there LCM is their product i.e 15297021
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 71,647,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,647,333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,647,333) x common factors =1 x 1 = 1
LCM(71,647,333) = ( 71 × 647 × 333 ) / 1
LCM(71,647,333) = 15297021 / 1
LCM(71,647,333) = 15297021
Lets's calculate GCF of 826,126,166
2 | 826, 126, 166 |
413, 63, 83 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15297021/2
Therefore the LCM of Fractions 71/826,647/126,333/166 is 15297021/2
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
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 826,126,166 . The biggest common factor number is the GCF number.
So the greatest common factor 826,126,166 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 71/826, 647/126, 333/166?
Answer: LCM of Numerators as per given numbers 71/826, 647/126, 333/166 is
LCM of Numerators i.e. for 71,647,333 is 15297021
GCF of denominators i.e. for 826,126,166 is 2.
Thus, LCM of Fractions is 15297021/2.Finally, LCM of Fractions for 71/826, 647/126, 333/166 is 15297021/2.