Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 757/58, 265/4927 quickly i.e. 200605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 757/58, 265/4927 is 200605.
LCM(757/58, 265/4927) = 200605
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 757/58,265/4927
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 757,265
Least Common Multiple of Numerators i.e. LCM of 757,265 is 200605.
GCF of Denominators means GCF of 58,4927 as per the given fractions.
GCF of 58,4927 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 757,265
Given numbers has no common factors except 1. So, there LCM is their product i.e 200605
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 757,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,265) x common factors =1 x 1 = 1
LCM(757,265) = ( 757 × 265 ) / 1
LCM(757,265) = 200605 / 1
LCM(757,265) = 200605
Lets's calculate GCF of 58,4927
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200605/1
Therefore the LCM of Fractions 757/58,265/4927 is 200605
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 4927
List of positive integer factors of 4927 that divides 4927 without a remainder.
1,13,379,4927
Greatest Common Factor
We found the factors 58,4927 . The biggest common factor number is the GCF number.
So the greatest common factor 58,4927 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 757/58, 265/4927?
Answer: LCM of Numerators as per given numbers 757/58, 265/4927 is
LCM of Numerators i.e. for 757,265 is 200605
GCF of denominators i.e. for 58,4927 is 1.
Thus, LCM of Fractions is 200605.Finally, LCM of Fractions for 757/58, 265/4927 is 200605.