Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 603/93, 870/34, 446/721 quickly i.e. 38996010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 603/93, 870/34, 446/721 is 38996010.
LCM(603/93, 870/34, 446/721) = 38996010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 603/93,870/34,446/721
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 603,870,446
Least Common Multiple of Numerators i.e. LCM of 603,870,446 is 38996010.
GCF of Denominators means GCF of 93,34,721 as per the given fractions.
GCF of 93,34,721 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 603,870,446
2 | 603, 870, 446 |
3 | 603, 435, 223 |
201, 145, 223 |
∴ So the LCM of the given numbers is 2 x 3 x 201 x 145 x 223 = 38996010
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 603,870,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,870,446) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(603,870,446) x common factors =1 x 6 = 6
LCM(603,870,446) = ( 603 × 870 × 446 ) / 6
LCM(603,870,446) = 233976060 / 6
LCM(603,870,446) = 38996010
Lets's calculate GCF of 93,34,721
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38996010/1
Therefore the LCM of Fractions 603/93,870/34,446/721 is 38996010
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Greatest Common Factor
We found the factors 93,34,721 . The biggest common factor number is the GCF number.
So the greatest common factor 93,34,721 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 603/93, 870/34, 446/721?
Answer: LCM of Numerators as per given numbers 603/93, 870/34, 446/721 is
LCM of Numerators i.e. for 603,870,446 is 38996010
GCF of denominators i.e. for 93,34,721 is 1.
Thus, LCM of Fractions is 38996010.Finally, LCM of Fractions for 603/93, 870/34, 446/721 is 38996010.