Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/739, 57/220, 943/637 quickly i.e. 1773783 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/739, 57/220, 943/637 is 1773783.
LCM(99/739, 57/220, 943/637) = 1773783
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/739,57/220,943/637
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 99,57,943
Least Common Multiple of Numerators i.e. LCM of 99,57,943 is 1773783.
GCF of Denominators means GCF of 739,220,637 as per the given fractions.
GCF of 739,220,637 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,57,943
3 | 99, 57, 943 |
33, 19, 943 |
∴ So the LCM of the given numbers is 3 x 33 x 19 x 943 = 1773783
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 99,57,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,57,943) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(99,57,943) x common factors =1 x 3 = 3
LCM(99,57,943) = ( 99 × 57 × 943 ) / 3
LCM(99,57,943) = 5321349 / 3
LCM(99,57,943) = 1773783
Lets's calculate GCF of 739,220,637
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1773783/1
Therefore the LCM of Fractions 99/739,57/220,943/637 is 1773783
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1,739
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Greatest Common Factor
We found the factors 739,220,637 . The biggest common factor number is the GCF number.
So the greatest common factor 739,220,637 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 99/739, 57/220, 943/637?
Answer: LCM of Numerators as per given numbers 99/739, 57/220, 943/637 is
LCM of Numerators i.e. for 99,57,943 is 1773783
GCF of denominators i.e. for 739,220,637 is 1.
Thus, LCM of Fractions is 1773783.Finally, LCM of Fractions for 99/739, 57/220, 943/637 is 1773783.