Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 103/321, 231/897, 974/240 quickly i.e. 7724794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 103/321, 231/897, 974/240 is 7724794.
LCM(103/321, 231/897, 974/240) = 7724794
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 103/321,231/897,974/240
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 103,231,974
Least Common Multiple of Numerators i.e. LCM of 103,231,974 is 23174382.
GCF of Denominators means GCF of 321,897,240 as per the given fractions.
GCF of 321,897,240 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 103,231,974
Given numbers has no common factors except 1. So, there LCM is their product i.e 23174382
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 103,231,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,231,974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,231,974) x common factors =1 x 1 = 1
LCM(103,231,974) = ( 103 × 231 × 974 ) / 1
LCM(103,231,974) = 23174382 / 1
LCM(103,231,974) = 23174382
Lets's calculate GCF of 321,897,240
3 | 321, 897, 240 |
107, 299, 80 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23174382/3
Therefore the LCM of Fractions 103/321,231/897,974/240 is 7724794
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Greatest Common Factor
We found the factors 321,897,240 . The biggest common factor number is the GCF number.
So the greatest common factor 321,897,240 is 3.
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 103/321, 231/897, 974/240?
Answer: LCM of Numerators as per given numbers 103/321, 231/897, 974/240 is
LCM of Numerators i.e. for 103,231,974 is 23174382
GCF of denominators i.e. for 321,897,240 is 3.
Thus, LCM of Fractions is 7724794.Finally, LCM of Fractions for 103/321, 231/897, 974/240 is 7724794.