Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/751, 957/649, 582/845 quickly i.e. 185658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/751, 957/649, 582/845 is 185658.
LCM(97/751, 957/649, 582/845) = 185658
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/751,957/649,582/845
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 97,957,582
Least Common Multiple of Numerators i.e. LCM of 97,957,582 is 185658.
GCF of Denominators means GCF of 751,649,845 as per the given fractions.
GCF of 751,649,845 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,957,582
3 | 97, 957, 582 |
97 | 97, 319, 194 |
1, 319, 2 |
∴ So the LCM of the given numbers is 3 x 97 x 1 x 319 x 2 = 185658
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 97,957,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,957,582) = 1
common factors(in case of two or more numbers have common factors) = 291
GCF(97,957,582) x common factors =1 x 291 = 291
LCM(97,957,582) = ( 97 × 957 × 582 ) / 291
LCM(97,957,582) = 54026478 / 291
LCM(97,957,582) = 185658
Lets's calculate GCF of 751,649,845
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185658/1
Therefore the LCM of Fractions 97/751,957/649,582/845 is 185658
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Greatest Common Factor
We found the factors 751,649,845 . The biggest common factor number is the GCF number.
So the greatest common factor 751,649,845 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 97/751, 957/649, 582/845?
Answer: LCM of Numerators as per given numbers 97/751, 957/649, 582/845 is
LCM of Numerators i.e. for 97,957,582 is 185658
GCF of denominators i.e. for 751,649,845 is 1.
Thus, LCM of Fractions is 185658.Finally, LCM of Fractions for 97/751, 957/649, 582/845 is 185658.