Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/641, 950/209, 695/976 quickly i.e. 1452550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/641, 950/209, 695/976 is 1452550.
LCM(11/641, 950/209, 695/976) = 1452550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/641,950/209,695/976
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 11,950,695
Least Common Multiple of Numerators i.e. LCM of 11,950,695 is 1452550.
GCF of Denominators means GCF of 641,209,976 as per the given fractions.
GCF of 641,209,976 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,950,695
5 | 11, 950, 695 |
11, 190, 139 |
∴ So the LCM of the given numbers is 5 x 11 x 190 x 139 = 1452550
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 11,950,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,950,695) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(11,950,695) x common factors =1 x 5 = 5
LCM(11,950,695) = ( 11 × 950 × 695 ) / 5
LCM(11,950,695) = 7262750 / 5
LCM(11,950,695) = 1452550
Lets's calculate GCF of 641,209,976
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1452550/1
Therefore the LCM of Fractions 11/641,950/209,695/976 is 1452550
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Greatest Common Factor
We found the factors 641,209,976 . The biggest common factor number is the GCF number.
So the greatest common factor 641,209,976 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 11/641, 950/209, 695/976?
Answer: LCM of Numerators as per given numbers 11/641, 950/209, 695/976 is
LCM of Numerators i.e. for 11,950,695 is 1452550
GCF of denominators i.e. for 641,209,976 is 1.
Thus, LCM of Fractions is 1452550.Finally, LCM of Fractions for 11/641, 950/209, 695/976 is 1452550.