Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 207/53, 897/1867 quickly i.e. 2691 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 207/53, 897/1867 is 2691.
LCM(207/53, 897/1867) = 2691
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 207/53,897/1867
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 207,897
Least Common Multiple of Numerators i.e. LCM of 207,897 is 2691.
GCF of Denominators means GCF of 53,1867 as per the given fractions.
GCF of 53,1867 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 207,897
3 | 207, 897 |
23 | 69, 299 |
3, 13 |
∴ So the LCM of the given numbers is 3 x 23 x 3 x 13 = 2691
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 207,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,897) = 69
common factors(in case of two or more numbers have common factors) = 1
GCF(207,897) x common factors =69 x 1 = 69
LCM(207,897) = ( 207 × 897 ) / 69
LCM(207,897) = 185679 / 69
LCM(207,897) = 2691
Lets's calculate GCF of 53,1867
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2691/1
Therefore the LCM of Fractions 207/53,897/1867 is 2691
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 1867
List of positive integer factors of 1867 that divides 1867 without a remainder.
1,1867
Greatest Common Factor
We found the factors 53,1867 . The biggest common factor number is the GCF number.
So the greatest common factor 53,1867 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 207/53, 897/1867?
Answer: LCM of Numerators as per given numbers 207/53, 897/1867 is
LCM of Numerators i.e. for 207,897 is 2691
GCF of denominators i.e. for 53,1867 is 1.
Thus, LCM of Fractions is 2691.Finally, LCM of Fractions for 207/53, 897/1867 is 2691.