Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 314/575, 4126/303 quickly i.e. 647782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 314/575, 4126/303 is 647782.
LCM(314/575, 4126/303) = 647782
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 314/575,4126/303
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 314,4126
Least Common Multiple of Numerators i.e. LCM of 314,4126 is 647782.
GCF of Denominators means GCF of 575,303 as per the given fractions.
GCF of 575,303 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 314,4126
2 | 314, 4126 |
157, 2063 |
∴ So the LCM of the given numbers is 2 x 157 x 2063 = 647782
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 314,4126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,4126) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,4126) x common factors =2 x 1 = 2
LCM(314,4126) = ( 314 × 4126 ) / 2
LCM(314,4126) = 1295564 / 2
LCM(314,4126) = 647782
Lets's calculate GCF of 575,303
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 647782/1
Therefore the LCM of Fractions 314/575,4126/303 is 647782
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Greatest Common Factor
We found the factors 575,303 . The biggest common factor number is the GCF number.
So the greatest common factor 575,303 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 314/575, 4126/303?
Answer: LCM of Numerators as per given numbers 314/575, 4126/303 is
LCM of Numerators i.e. for 314,4126 is 647782
GCF of denominators i.e. for 575,303 is 1.
Thus, LCM of Fractions is 647782.Finally, LCM of Fractions for 314/575, 4126/303 is 647782.