Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 757/343, 415/533 quickly i.e. 314155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 757/343, 415/533 is 314155.
LCM(757/343, 415/533) = 314155
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 757/343,415/533
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 757,415
Least Common Multiple of Numerators i.e. LCM of 757,415 is 314155.
GCF of Denominators means GCF of 343,533 as per the given fractions.
GCF of 343,533 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 757,415
Given numbers has no common factors except 1. So, there LCM is their product i.e 314155
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 757,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,415) x common factors =1 x 1 = 1
LCM(757,415) = ( 757 × 415 ) / 1
LCM(757,415) = 314155 / 1
LCM(757,415) = 314155
Lets's calculate GCF of 343,533
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314155/1
Therefore the LCM of Fractions 757/343,415/533 is 314155
Factors of 343
List of positive integer factors of 343 that divides 343 without a remainder.
1,7,49,343
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Greatest Common Factor
We found the factors 343,533 . The biggest common factor number is the GCF number.
So the greatest common factor 343,533 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 757/343, 415/533?
Answer: LCM of Numerators as per given numbers 757/343, 415/533 is
LCM of Numerators i.e. for 757,415 is 314155
GCF of denominators i.e. for 343,533 is 1.
Thus, LCM of Fractions is 314155.Finally, LCM of Fractions for 757/343, 415/533 is 314155.