Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 397/49, 910/70, 652/829 quickly i.e. 117774020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 397/49, 910/70, 652/829 is 117774020.
LCM(397/49, 910/70, 652/829) = 117774020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 397/49,910/70,652/829
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 397,910,652
Least Common Multiple of Numerators i.e. LCM of 397,910,652 is 117774020.
GCF of Denominators means GCF of 49,70,829 as per the given fractions.
GCF of 49,70,829 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 397,910,652
2 | 397, 910, 652 |
397, 455, 326 |
∴ So the LCM of the given numbers is 2 x 397 x 455 x 326 = 117774020
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 397,910,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,910,652) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(397,910,652) x common factors =1 x 2 = 2
LCM(397,910,652) = ( 397 × 910 × 652 ) / 2
LCM(397,910,652) = 235548040 / 2
LCM(397,910,652) = 117774020
Lets's calculate GCF of 49,70,829
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117774020/1
Therefore the LCM of Fractions 397/49,910/70,652/829 is 117774020
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Greatest Common Factor
We found the factors 49,70,829 . The biggest common factor number is the GCF number.
So the greatest common factor 49,70,829 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 397/49, 910/70, 652/829?
Answer: LCM of Numerators as per given numbers 397/49, 910/70, 652/829 is
LCM of Numerators i.e. for 397,910,652 is 117774020
GCF of denominators i.e. for 49,70,829 is 1.
Thus, LCM of Fractions is 117774020.Finally, LCM of Fractions for 397/49, 910/70, 652/829 is 117774020.