Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/799, 876/394, 979/296 quickly i.e. 24870516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/799, 876/394, 979/296 is 24870516.
LCM(87/799, 876/394, 979/296) = 24870516
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/799,876/394,979/296
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 87,876,979
Least Common Multiple of Numerators i.e. LCM of 87,876,979 is 24870516.
GCF of Denominators means GCF of 799,394,296 as per the given fractions.
GCF of 799,394,296 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,876,979
3 | 87, 876, 979 |
29, 292, 979 |
∴ So the LCM of the given numbers is 3 x 29 x 292 x 979 = 24870516
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 87,876,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,876,979) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,876,979) x common factors =1 x 3 = 3
LCM(87,876,979) = ( 87 × 876 × 979 ) / 3
LCM(87,876,979) = 74611548 / 3
LCM(87,876,979) = 24870516
Lets's calculate GCF of 799,394,296
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24870516/1
Therefore the LCM of Fractions 87/799,876/394,979/296 is 24870516
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 799,394,296 . The biggest common factor number is the GCF number.
So the greatest common factor 799,394,296 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 87/799, 876/394, 979/296?
Answer: LCM of Numerators as per given numbers 87/799, 876/394, 979/296 is
LCM of Numerators i.e. for 87,876,979 is 24870516
GCF of denominators i.e. for 799,394,296 is 1.
Thus, LCM of Fractions is 24870516.Finally, LCM of Fractions for 87/799, 876/394, 979/296 is 24870516.