Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 209/246, 957/973, 803/555 quickly i.e. 1327359 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 209/246, 957/973, 803/555 is 1327359.
LCM(209/246, 957/973, 803/555) = 1327359
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 209/246,957/973,803/555
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 209,957,803
Least Common Multiple of Numerators i.e. LCM of 209,957,803 is 1327359.
GCF of Denominators means GCF of 246,973,555 as per the given fractions.
GCF of 246,973,555 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 209,957,803
11 | 209, 957, 803 |
19, 87, 73 |
∴ So the LCM of the given numbers is 11 x 19 x 87 x 73 = 1327359
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 209,957,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,957,803) = 11
common factors(in case of two or more numbers have common factors) = 11
GCF(209,957,803) x common factors =11 x 11 = 121
LCM(209,957,803) = ( 209 × 957 × 803 ) / 121
LCM(209,957,803) = 160610439 / 121
LCM(209,957,803) = 1327359
Lets's calculate GCF of 246,973,555
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1327359/1
Therefore the LCM of Fractions 209/246,957/973,803/555 is 1327359
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Greatest Common Factor
We found the factors 246,973,555 . The biggest common factor number is the GCF number.
So the greatest common factor 246,973,555 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 209/246, 957/973, 803/555?
Answer: LCM of Numerators as per given numbers 209/246, 957/973, 803/555 is
LCM of Numerators i.e. for 209,957,803 is 1327359
GCF of denominators i.e. for 246,973,555 is 1.
Thus, LCM of Fractions is 1327359.Finally, LCM of Fractions for 209/246, 957/973, 803/555 is 1327359.