Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 975/805, 5868/943 quickly i.e. 1907100/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 975/805, 5868/943 is 1907100/23.
LCM(975/805, 5868/943) = 1907100/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 975/805,5868/943
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 975,5868
Least Common Multiple of Numerators i.e. LCM of 975,5868 is 1907100.
GCF of Denominators means GCF of 805,943 as per the given fractions.
GCF of 805,943 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 975,5868
3 | 975, 5868 |
325, 1956 |
∴ So the LCM of the given numbers is 3 x 325 x 1956 = 1907100
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 975,5868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,5868) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(975,5868) x common factors =3 x 1 = 3
LCM(975,5868) = ( 975 × 5868 ) / 3
LCM(975,5868) = 5721300 / 3
LCM(975,5868) = 1907100
Lets's calculate GCF of 805,943
23 | 805, 943 |
35, 41 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1907100/23
Therefore the LCM of Fractions 975/805,5868/943 is 1907100/23
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Greatest Common Factor
We found the factors 805,943 . The biggest common factor number is the GCF number.
So the greatest common factor 805,943 is 23.
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 975/805, 5868/943?
Answer: LCM of Numerators as per given numbers 975/805, 5868/943 is
LCM of Numerators i.e. for 975,5868 is 1907100
GCF of denominators i.e. for 805,943 is 23.
Thus, LCM of Fractions is 1907100/23.Finally, LCM of Fractions for 975/805, 5868/943 is 1907100/23.