Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 891/803, 879/787, 409/851 quickly i.e. 106774767 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 891/803, 879/787, 409/851 is 106774767.
LCM(891/803, 879/787, 409/851) = 106774767
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 891/803,879/787,409/851
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 891,879,409
Least Common Multiple of Numerators i.e. LCM of 891,879,409 is 106774767.
GCF of Denominators means GCF of 803,787,851 as per the given fractions.
GCF of 803,787,851 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 891,879,409
3 | 891, 879, 409 |
297, 293, 409 |
∴ So the LCM of the given numbers is 3 x 297 x 293 x 409 = 106774767
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 891,879,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,879,409) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(891,879,409) x common factors =1 x 3 = 3
LCM(891,879,409) = ( 891 × 879 × 409 ) / 3
LCM(891,879,409) = 320324301 / 3
LCM(891,879,409) = 106774767
Lets's calculate GCF of 803,787,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106774767/1
Therefore the LCM of Fractions 891/803,879/787,409/851 is 106774767
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Greatest Common Factor
We found the factors 803,787,851 . The biggest common factor number is the GCF number.
So the greatest common factor 803,787,851 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 891/803, 879/787, 409/851?
Answer: LCM of Numerators as per given numbers 891/803, 879/787, 409/851 is
LCM of Numerators i.e. for 891,879,409 is 106774767
GCF of denominators i.e. for 803,787,851 is 1.
Thus, LCM of Fractions is 106774767.Finally, LCM of Fractions for 891/803, 879/787, 409/851 is 106774767.