Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 214/26, 963/24, 897/722 quickly i.e. 287937 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 214/26, 963/24, 897/722 is 287937.
LCM(214/26, 963/24, 897/722) = 287937
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 214/26,963/24,897/722
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 214,963,897
Least Common Multiple of Numerators i.e. LCM of 214,963,897 is 575874.
GCF of Denominators means GCF of 26,24,722 as per the given fractions.
GCF of 26,24,722 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 214,963,897
3 | 214, 963, 897 |
107 | 214, 321, 299 |
2, 3, 299 |
∴ So the LCM of the given numbers is 3 x 107 x 2 x 3 x 299 = 575874
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 214,963,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,963,897) = 1
common factors(in case of two or more numbers have common factors) = 321
GCF(214,963,897) x common factors =1 x 321 = 321
LCM(214,963,897) = ( 214 × 963 × 897 ) / 321
LCM(214,963,897) = 184855554 / 321
LCM(214,963,897) = 575874
Lets's calculate GCF of 26,24,722
2 | 26, 24, 722 |
13, 12, 361 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 575874/2
Therefore the LCM of Fractions 214/26,963/24,897/722 is 287937
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Greatest Common Factor
We found the factors 26,24,722 . The biggest common factor number is the GCF number.
So the greatest common factor 26,24,722 is 2.
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 214/26, 963/24, 897/722?
Answer: LCM of Numerators as per given numbers 214/26, 963/24, 897/722 is
LCM of Numerators i.e. for 214,963,897 is 575874
GCF of denominators i.e. for 26,24,722 is 2.
Thus, LCM of Fractions is 287937.Finally, LCM of Fractions for 214/26, 963/24, 897/722 is 287937.