Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/261, 55/753, 223/911 quickly i.e. 24530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/261, 55/753, 223/911 is 24530.
LCM(10/261, 55/753, 223/911) = 24530
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/261,55/753,223/911
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 10,55,223
Least Common Multiple of Numerators i.e. LCM of 10,55,223 is 24530.
GCF of Denominators means GCF of 261,753,911 as per the given fractions.
GCF of 261,753,911 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,55,223
5 | 10, 55, 223 |
2, 11, 223 |
∴ So the LCM of the given numbers is 5 x 2 x 11 x 223 = 24530
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 10,55,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,55,223) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(10,55,223) x common factors =1 x 5 = 5
LCM(10,55,223) = ( 10 × 55 × 223 ) / 5
LCM(10,55,223) = 122650 / 5
LCM(10,55,223) = 24530
Lets's calculate GCF of 261,753,911
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24530/1
Therefore the LCM of Fractions 10/261,55/753,223/911 is 24530
Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1,3,9,29,87,261
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Greatest Common Factor
We found the factors 261,753,911 . The biggest common factor number is the GCF number.
So the greatest common factor 261,753,911 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 10/261, 55/753, 223/911?
Answer: LCM of Numerators as per given numbers 10/261, 55/753, 223/911 is
LCM of Numerators i.e. for 10,55,223 is 24530
GCF of denominators i.e. for 261,753,911 is 1.
Thus, LCM of Fractions is 24530.Finally, LCM of Fractions for 10/261, 55/753, 223/911 is 24530.