Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/802, 91/181, 847/789 quickly i.e. 561561 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/802, 91/181, 847/789 is 561561.
LCM(51/802, 91/181, 847/789) = 561561
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/802,91/181,847/789
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 51,91,847
Least Common Multiple of Numerators i.e. LCM of 51,91,847 is 561561.
GCF of Denominators means GCF of 802,181,789 as per the given fractions.
GCF of 802,181,789 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,91,847
7 | 51, 91, 847 |
51, 13, 121 |
∴ So the LCM of the given numbers is 7 x 51 x 13 x 121 = 561561
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 51,91,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,91,847) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(51,91,847) x common factors =1 x 7 = 7
LCM(51,91,847) = ( 51 × 91 × 847 ) / 7
LCM(51,91,847) = 3930927 / 7
LCM(51,91,847) = 561561
Lets's calculate GCF of 802,181,789
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 561561/1
Therefore the LCM of Fractions 51/802,91/181,847/789 is 561561
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Greatest Common Factor
We found the factors 802,181,789 . The biggest common factor number is the GCF number.
So the greatest common factor 802,181,789 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 51/802, 91/181, 847/789?
Answer: LCM of Numerators as per given numbers 51/802, 91/181, 847/789 is
LCM of Numerators i.e. for 51,91,847 is 561561
GCF of denominators i.e. for 802,181,789 is 1.
Thus, LCM of Fractions is 561561.Finally, LCM of Fractions for 51/802, 91/181, 847/789 is 561561.