Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1708/481, 4374/2358 quickly i.e. 3735396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1708/481, 4374/2358 is 3735396.
LCM(1708/481, 4374/2358) = 3735396
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1708/481,4374/2358
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 1708,4374
Least Common Multiple of Numerators i.e. LCM of 1708,4374 is 3735396.
GCF of Denominators means GCF of 481,2358 as per the given fractions.
GCF of 481,2358 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1708,4374
2 | 1708, 4374 |
854, 2187 |
∴ So the LCM of the given numbers is 2 x 854 x 2187 = 3735396
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 1708,4374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1708,4374) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1708,4374) x common factors =2 x 1 = 2
LCM(1708,4374) = ( 1708 × 4374 ) / 2
LCM(1708,4374) = 7470792 / 2
LCM(1708,4374) = 3735396
Lets's calculate GCF of 481,2358
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3735396/1
Therefore the LCM of Fractions 1708/481,4374/2358 is 3735396
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 2358
List of positive integer factors of 2358 that divides 2358 without a remainder.
1,2,3,6,9,18,131,262,393,786,1179,2358
Greatest Common Factor
We found the factors 481,2358 . The biggest common factor number is the GCF number.
So the greatest common factor 481,2358 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 1708/481, 4374/2358?
Answer: LCM of Numerators as per given numbers 1708/481, 4374/2358 is
LCM of Numerators i.e. for 1708,4374 is 3735396
GCF of denominators i.e. for 481,2358 is 1.
Thus, LCM of Fractions is 3735396.Finally, LCM of Fractions for 1708/481, 4374/2358 is 3735396.