Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/868, 25/434 quickly i.e. 275/434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/868, 25/434 is 275/434.
LCM(11/868, 25/434) = 275/434
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/868,25/434
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 11,25
Least Common Multiple of Numerators i.e. LCM of 11,25 is 275.
GCF of Denominators means GCF of 868,434 as per the given fractions.
GCF of 868,434 is 434 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,25
Given numbers has no common factors except 1. So, there LCM is their product i.e 275
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 11,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,25) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,25) x common factors =1 x 1 = 1
LCM(11,25) = ( 11 × 25 ) / 1
LCM(11,25) = 275 / 1
LCM(11,25) = 275
Lets's calculate GCF of 868,434
2 | 868, 434 |
7 | 434, 217 |
31 | 62, 31 |
2, 1 |
∴ So the GCF of the given numbers is 2 x 7 x 31 = 434
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275/434
Therefore the LCM of Fractions 11/868,25/434 is 275/434
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 868,434 . The biggest common factor number is the GCF number.
So the greatest common factor 868,434 is 434.
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 11/868, 25/434?
Answer: LCM of Numerators as per given numbers 11/868, 25/434 is
LCM of Numerators i.e. for 11,25 is 275
GCF of denominators i.e. for 868,434 is 434.
Thus, LCM of Fractions is 275/434.Finally, LCM of Fractions for 11/868, 25/434 is 275/434.