Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 962/80, 634/1682 quickly i.e. 152477 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 962/80, 634/1682 is 152477.
LCM(962/80, 634/1682) = 152477
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 962/80,634/1682
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 962,634
Least Common Multiple of Numerators i.e. LCM of 962,634 is 304954.
GCF of Denominators means GCF of 80,1682 as per the given fractions.
GCF of 80,1682 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 962,634
2 | 962, 634 |
481, 317 |
∴ So the LCM of the given numbers is 2 x 481 x 317 = 304954
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 962,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,634) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(962,634) x common factors =2 x 1 = 2
LCM(962,634) = ( 962 × 634 ) / 2
LCM(962,634) = 609908 / 2
LCM(962,634) = 304954
Lets's calculate GCF of 80,1682
2 | 80, 1682 |
40, 841 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304954/2
Therefore the LCM of Fractions 962/80,634/1682 is 152477
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 1682
List of positive integer factors of 1682 that divides 1682 without a remainder.
1,2,29,58,841,1682
Greatest Common Factor
We found the factors 80,1682 . The biggest common factor number is the GCF number.
So the greatest common factor 80,1682 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 962/80, 634/1682?
Answer: LCM of Numerators as per given numbers 962/80, 634/1682 is
LCM of Numerators i.e. for 962,634 is 304954
GCF of denominators i.e. for 80,1682 is 2.
Thus, LCM of Fractions is 152477.Finally, LCM of Fractions for 962/80, 634/1682 is 152477.