Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/580, 883/533, 649/967 quickly i.e. 5157603 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/580, 883/533, 649/967 is 5157603.
LCM(99/580, 883/533, 649/967) = 5157603
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/580,883/533,649/967
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 99,883,649
Least Common Multiple of Numerators i.e. LCM of 99,883,649 is 5157603.
GCF of Denominators means GCF of 580,533,967 as per the given fractions.
GCF of 580,533,967 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,883,649
11 | 99, 883, 649 |
9, 883, 59 |
∴ So the LCM of the given numbers is 11 x 9 x 883 x 59 = 5157603
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 99,883,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,883,649) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(99,883,649) x common factors =1 x 11 = 11
LCM(99,883,649) = ( 99 × 883 × 649 ) / 11
LCM(99,883,649) = 56733633 / 11
LCM(99,883,649) = 5157603
Lets's calculate GCF of 580,533,967
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5157603/1
Therefore the LCM of Fractions 99/580,883/533,649/967 is 5157603
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Factors of 967
List of positive integer factors of 967 that divides 967 without a remainder.
1,967
Greatest Common Factor
We found the factors 580,533,967 . The biggest common factor number is the GCF number.
So the greatest common factor 580,533,967 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 99/580, 883/533, 649/967?
Answer: LCM of Numerators as per given numbers 99/580, 883/533, 649/967 is
LCM of Numerators i.e. for 99,883,649 is 5157603
GCF of denominators i.e. for 580,533,967 is 1.
Thus, LCM of Fractions is 5157603.Finally, LCM of Fractions for 99/580, 883/533, 649/967 is 5157603.