Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 259/376, 1420/6243 quickly i.e. 367780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 259/376, 1420/6243 is 367780.
LCM(259/376, 1420/6243) = 367780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 259/376,1420/6243
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 259,1420
Least Common Multiple of Numerators i.e. LCM of 259,1420 is 367780.
GCF of Denominators means GCF of 376,6243 as per the given fractions.
GCF of 376,6243 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 259,1420
Given numbers has no common factors except 1. So, there LCM is their product i.e 367780
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 259,1420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,1420) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,1420) x common factors =1 x 1 = 1
LCM(259,1420) = ( 259 × 1420 ) / 1
LCM(259,1420) = 367780 / 1
LCM(259,1420) = 367780
Lets's calculate GCF of 376,6243
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 367780/1
Therefore the LCM of Fractions 259/376,1420/6243 is 367780
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 6243
List of positive integer factors of 6243 that divides 6243 without a remainder.
1,3,2081,6243
Greatest Common Factor
We found the factors 376,6243 . The biggest common factor number is the GCF number.
So the greatest common factor 376,6243 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 259/376, 1420/6243?
Answer: LCM of Numerators as per given numbers 259/376, 1420/6243 is
LCM of Numerators i.e. for 259,1420 is 367780
GCF of denominators i.e. for 376,6243 is 1.
Thus, LCM of Fractions is 367780.Finally, LCM of Fractions for 259/376, 1420/6243 is 367780.