Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/682, 39/176, 834/472 quickly i.e. 222261 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/682, 39/176, 834/472 is 222261.
LCM(82/682, 39/176, 834/472) = 222261
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/682,39/176,834/472
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 82,39,834
Least Common Multiple of Numerators i.e. LCM of 82,39,834 is 444522.
GCF of Denominators means GCF of 682,176,472 as per the given fractions.
GCF of 682,176,472 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,39,834
2 | 82, 39, 834 |
3 | 41, 39, 417 |
41, 13, 139 |
∴ So the LCM of the given numbers is 2 x 3 x 41 x 13 x 139 = 444522
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 82,39,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,39,834) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(82,39,834) x common factors =1 x 6 = 6
LCM(82,39,834) = ( 82 × 39 × 834 ) / 6
LCM(82,39,834) = 2667132 / 6
LCM(82,39,834) = 444522
Lets's calculate GCF of 682,176,472
2 | 682, 176, 472 |
341, 88, 236 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 444522/2
Therefore the LCM of Fractions 82/682,39/176,834/472 is 222261
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Greatest Common Factor
We found the factors 682,176,472 . The biggest common factor number is the GCF number.
So the greatest common factor 682,176,472 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 82/682, 39/176, 834/472?
Answer: LCM of Numerators as per given numbers 82/682, 39/176, 834/472 is
LCM of Numerators i.e. for 82,39,834 is 444522
GCF of denominators i.e. for 682,176,472 is 2.
Thus, LCM of Fractions is 222261.Finally, LCM of Fractions for 82/682, 39/176, 834/472 is 222261.