Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/881, 667/194, 810/410 quickly i.e. 5942970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/881, 667/194, 810/410 is 5942970.
LCM(22/881, 667/194, 810/410) = 5942970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/881,667/194,810/410
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 22,667,810
Least Common Multiple of Numerators i.e. LCM of 22,667,810 is 5942970.
GCF of Denominators means GCF of 881,194,410 as per the given fractions.
GCF of 881,194,410 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,667,810
2 | 22, 667, 810 |
11, 667, 405 |
∴ So the LCM of the given numbers is 2 x 11 x 667 x 405 = 5942970
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 22,667,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,667,810) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(22,667,810) x common factors =1 x 2 = 2
LCM(22,667,810) = ( 22 × 667 × 810 ) / 2
LCM(22,667,810) = 11885940 / 2
LCM(22,667,810) = 5942970
Lets's calculate GCF of 881,194,410
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5942970/1
Therefore the LCM of Fractions 22/881,667/194,810/410 is 5942970
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Greatest Common Factor
We found the factors 881,194,410 . The biggest common factor number is the GCF number.
So the greatest common factor 881,194,410 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 22/881, 667/194, 810/410?
Answer: LCM of Numerators as per given numbers 22/881, 667/194, 810/410 is
LCM of Numerators i.e. for 22,667,810 is 5942970
GCF of denominators i.e. for 881,194,410 is 1.
Thus, LCM of Fractions is 5942970.Finally, LCM of Fractions for 22/881, 667/194, 810/410 is 5942970.