Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/897, 707/519, 972/193 quickly i.e. 36421812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/897, 707/519, 972/193 is 36421812.
LCM(53/897, 707/519, 972/193) = 36421812
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/897,707/519,972/193
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 53,707,972
Least Common Multiple of Numerators i.e. LCM of 53,707,972 is 36421812.
GCF of Denominators means GCF of 897,519,193 as per the given fractions.
GCF of 897,519,193 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,707,972
Given numbers has no common factors except 1. So, there LCM is their product i.e 36421812
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 53,707,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,707,972) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,707,972) x common factors =1 x 1 = 1
LCM(53,707,972) = ( 53 × 707 × 972 ) / 1
LCM(53,707,972) = 36421812 / 1
LCM(53,707,972) = 36421812
Lets's calculate GCF of 897,519,193
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36421812/1
Therefore the LCM of Fractions 53/897,707/519,972/193 is 36421812
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 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Greatest Common Factor
We found the factors 897,519,193 . The biggest common factor number is the GCF number.
So the greatest common factor 897,519,193 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 53/897, 707/519, 972/193?
Answer: LCM of Numerators as per given numbers 53/897, 707/519, 972/193 is
LCM of Numerators i.e. for 53,707,972 is 36421812
GCF of denominators i.e. for 897,519,193 is 1.
Thus, LCM of Fractions is 36421812.Finally, LCM of Fractions for 53/897, 707/519, 972/193 is 36421812.