Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/649, 98/215, 797/439 quickly i.e. 3592876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/649, 98/215, 797/439 is 3592876.
LCM(92/649, 98/215, 797/439) = 3592876
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/649,98/215,797/439
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 92,98,797
Least Common Multiple of Numerators i.e. LCM of 92,98,797 is 3592876.
GCF of Denominators means GCF of 649,215,439 as per the given fractions.
GCF of 649,215,439 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,98,797
2 | 92, 98, 797 |
46, 49, 797 |
∴ So the LCM of the given numbers is 2 x 46 x 49 x 797 = 3592876
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 92,98,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,98,797) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(92,98,797) x common factors =1 x 2 = 2
LCM(92,98,797) = ( 92 × 98 × 797 ) / 2
LCM(92,98,797) = 7185752 / 2
LCM(92,98,797) = 3592876
Lets's calculate GCF of 649,215,439
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3592876/1
Therefore the LCM of Fractions 92/649,98/215,797/439 is 3592876
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Greatest Common Factor
We found the factors 649,215,439 . The biggest common factor number is the GCF number.
So the greatest common factor 649,215,439 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 92/649, 98/215, 797/439?
Answer: LCM of Numerators as per given numbers 92/649, 98/215, 797/439 is
LCM of Numerators i.e. for 92,98,797 is 3592876
GCF of denominators i.e. for 649,215,439 is 1.
Thus, LCM of Fractions is 3592876.Finally, LCM of Fractions for 92/649, 98/215, 797/439 is 3592876.