Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 857/481, 800/137, 759/442 quickly i.e. 520370400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 857/481, 800/137, 759/442 is 520370400.
LCM(857/481, 800/137, 759/442) = 520370400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 857/481,800/137,759/442
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 857,800,759
Least Common Multiple of Numerators i.e. LCM of 857,800,759 is 520370400.
GCF of Denominators means GCF of 481,137,442 as per the given fractions.
GCF of 481,137,442 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 857,800,759
Given numbers has no common factors except 1. So, there LCM is their product i.e 520370400
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 857,800,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,800,759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,800,759) x common factors =1 x 1 = 1
LCM(857,800,759) = ( 857 × 800 × 759 ) / 1
LCM(857,800,759) = 520370400 / 1
LCM(857,800,759) = 520370400
Lets's calculate GCF of 481,137,442
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 520370400/1
Therefore the LCM of Fractions 857/481,800/137,759/442 is 520370400
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 481,137,442 . The biggest common factor number is the GCF number.
So the greatest common factor 481,137,442 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 857/481, 800/137, 759/442?
Answer: LCM of Numerators as per given numbers 857/481, 800/137, 759/442 is
LCM of Numerators i.e. for 857,800,759 is 520370400
GCF of denominators i.e. for 481,137,442 is 1.
Thus, LCM of Fractions is 520370400.Finally, LCM of Fractions for 857/481, 800/137, 759/442 is 520370400.