Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 553/98, 903/5796 quickly i.e. 71337/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 553/98, 903/5796 is 71337/14.
LCM(553/98, 903/5796) = 71337/14
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 553/98,903/5796
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 553,903
Least Common Multiple of Numerators i.e. LCM of 553,903 is 71337.
GCF of Denominators means GCF of 98,5796 as per the given fractions.
GCF of 98,5796 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 553,903
7 | 553, 903 |
79, 129 |
∴ So the LCM of the given numbers is 7 x 79 x 129 = 71337
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 553,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,903) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(553,903) x common factors =7 x 1 = 7
LCM(553,903) = ( 553 × 903 ) / 7
LCM(553,903) = 499359 / 7
LCM(553,903) = 71337
Lets's calculate GCF of 98,5796
2 | 98, 5796 |
7 | 49, 2898 |
7, 414 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71337/14
Therefore the LCM of Fractions 553/98,903/5796 is 71337/14
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 5796
List of positive integer factors of 5796 that divides 5796 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,23,28,36,42,46,63,69,84,92,126,138,161,207,252,276,322,414,483,644,828,966,1449,1932,2898,5796
Greatest Common Factor
We found the factors 98,5796 . The biggest common factor number is the GCF number.
So the greatest common factor 98,5796 is 14.
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 553/98, 903/5796?
Answer: LCM of Numerators as per given numbers 553/98, 903/5796 is
LCM of Numerators i.e. for 553,903 is 71337
GCF of denominators i.e. for 98,5796 is 14.
Thus, LCM of Fractions is 71337/14.Finally, LCM of Fractions for 553/98, 903/5796 is 71337/14.