Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 979/555, 843/939, 996/318 quickly i.e. 91332868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 979/555, 843/939, 996/318 is 91332868.
LCM(979/555, 843/939, 996/318) = 91332868
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 979/555,843/939,996/318
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 979,843,996
Least Common Multiple of Numerators i.e. LCM of 979,843,996 is 273998604.
GCF of Denominators means GCF of 555,939,318 as per the given fractions.
GCF of 555,939,318 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 979,843,996
3 | 979, 843, 996 |
979, 281, 332 |
∴ So the LCM of the given numbers is 3 x 979 x 281 x 332 = 273998604
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 979,843,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,843,996) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(979,843,996) x common factors =1 x 3 = 3
LCM(979,843,996) = ( 979 × 843 × 996 ) / 3
LCM(979,843,996) = 821995812 / 3
LCM(979,843,996) = 273998604
Lets's calculate GCF of 555,939,318
3 | 555, 939, 318 |
185, 313, 106 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273998604/3
Therefore the LCM of Fractions 979/555,843/939,996/318 is 91332868
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 555,939,318 . The biggest common factor number is the GCF number.
So the greatest common factor 555,939,318 is 3.
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 979/555, 843/939, 996/318?
Answer: LCM of Numerators as per given numbers 979/555, 843/939, 996/318 is
LCM of Numerators i.e. for 979,843,996 is 273998604
GCF of denominators i.e. for 555,939,318 is 3.
Thus, LCM of Fractions is 91332868.Finally, LCM of Fractions for 979/555, 843/939, 996/318 is 91332868.