Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/41, 14/692, 555/147 quickly i.e. 411810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/41, 14/692, 555/147 is 411810.
LCM(53/41, 14/692, 555/147) = 411810
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/41,14/692,555/147
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 53,14,555
Least Common Multiple of Numerators i.e. LCM of 53,14,555 is 411810.
GCF of Denominators means GCF of 41,692,147 as per the given fractions.
GCF of 41,692,147 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,14,555
Given numbers has no common factors except 1. So, there LCM is their product i.e 411810
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 53,14,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,14,555) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,14,555) x common factors =1 x 1 = 1
LCM(53,14,555) = ( 53 × 14 × 555 ) / 1
LCM(53,14,555) = 411810 / 1
LCM(53,14,555) = 411810
Lets's calculate GCF of 41,692,147
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 411810/1
Therefore the LCM of Fractions 53/41,14/692,555/147 is 411810
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Greatest Common Factor
We found the factors 41,692,147 . The biggest common factor number is the GCF number.
So the greatest common factor 41,692,147 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 53/41, 14/692, 555/147?
Answer: LCM of Numerators as per given numbers 53/41, 14/692, 555/147 is
LCM of Numerators i.e. for 53,14,555 is 411810
GCF of denominators i.e. for 41,692,147 is 1.
Thus, LCM of Fractions is 411810.Finally, LCM of Fractions for 53/41, 14/692, 555/147 is 411810.