Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/850, 73/397, 135/977 quickly i.e. 522315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/850, 73/397, 135/977 is 522315.
LCM(53/850, 73/397, 135/977) = 522315
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/850,73/397,135/977
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 53,73,135
Least Common Multiple of Numerators i.e. LCM of 53,73,135 is 522315.
GCF of Denominators means GCF of 850,397,977 as per the given fractions.
GCF of 850,397,977 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,73,135
Given numbers has no common factors except 1. So, there LCM is their product i.e 522315
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 53,73,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,73,135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,73,135) x common factors =1 x 1 = 1
LCM(53,73,135) = ( 53 × 73 × 135 ) / 1
LCM(53,73,135) = 522315 / 1
LCM(53,73,135) = 522315
Lets's calculate GCF of 850,397,977
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 522315/1
Therefore the LCM of Fractions 53/850,73/397,135/977 is 522315
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 977
List of positive integer factors of 977 that divides 977 without a remainder.
1,977
Greatest Common Factor
We found the factors 850,397,977 . The biggest common factor number is the GCF number.
So the greatest common factor 850,397,977 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 53/850, 73/397, 135/977?
Answer: LCM of Numerators as per given numbers 53/850, 73/397, 135/977 is
LCM of Numerators i.e. for 53,73,135 is 522315
GCF of denominators i.e. for 850,397,977 is 1.
Thus, LCM of Fractions is 522315.Finally, LCM of Fractions for 53/850, 73/397, 135/977 is 522315.