Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 799/528, 373/328, 419/979 quickly i.e. 124873313 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 799/528, 373/328, 419/979 is 124873313.
LCM(799/528, 373/328, 419/979) = 124873313
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 799/528,373/328,419/979
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 799,373,419
Least Common Multiple of Numerators i.e. LCM of 799,373,419 is 124873313.
GCF of Denominators means GCF of 528,328,979 as per the given fractions.
GCF of 528,328,979 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 799,373,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 124873313
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 799,373,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,373,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(799,373,419) x common factors =1 x 1 = 1
LCM(799,373,419) = ( 799 × 373 × 419 ) / 1
LCM(799,373,419) = 124873313 / 1
LCM(799,373,419) = 124873313
Lets's calculate GCF of 528,328,979
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124873313/1
Therefore the LCM of Fractions 799/528,373/328,419/979 is 124873313
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1,11,89,979
Greatest Common Factor
We found the factors 528,328,979 . The biggest common factor number is the GCF number.
So the greatest common factor 528,328,979 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 799/528, 373/328, 419/979?
Answer: LCM of Numerators as per given numbers 799/528, 373/328, 419/979 is
LCM of Numerators i.e. for 799,373,419 is 124873313
GCF of denominators i.e. for 528,328,979 is 1.
Thus, LCM of Fractions is 124873313.Finally, LCM of Fractions for 799/528, 373/328, 419/979 is 124873313.