Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/36, 772/15, 455/862 quickly i.e. 18616780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/36, 772/15, 455/862 is 18616780.
LCM(53/36, 772/15, 455/862) = 18616780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/36,772/15,455/862
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 53,772,455
Least Common Multiple of Numerators i.e. LCM of 53,772,455 is 18616780.
GCF of Denominators means GCF of 36,15,862 as per the given fractions.
GCF of 36,15,862 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,772,455
Given numbers has no common factors except 1. So, there LCM is their product i.e 18616780
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 53,772,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,772,455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,772,455) x common factors =1 x 1 = 1
LCM(53,772,455) = ( 53 × 772 × 455 ) / 1
LCM(53,772,455) = 18616780 / 1
LCM(53,772,455) = 18616780
Lets's calculate GCF of 36,15,862
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18616780/1
Therefore the LCM of Fractions 53/36,772/15,455/862 is 18616780
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Greatest Common Factor
We found the factors 36,15,862 . The biggest common factor number is the GCF number.
So the greatest common factor 36,15,862 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 53/36, 772/15, 455/862?
Answer: LCM of Numerators as per given numbers 53/36, 772/15, 455/862 is
LCM of Numerators i.e. for 53,772,455 is 18616780
GCF of denominators i.e. for 36,15,862 is 1.
Thus, LCM of Fractions is 18616780.Finally, LCM of Fractions for 53/36, 772/15, 455/862 is 18616780.