Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 999/901, 7923/7939 quickly i.e. 2638359/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 999/901, 7923/7939 is 2638359/17.
LCM(999/901, 7923/7939) = 2638359/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 999/901,7923/7939
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 999,7923
Least Common Multiple of Numerators i.e. LCM of 999,7923 is 2638359.
GCF of Denominators means GCF of 901,7939 as per the given fractions.
GCF of 901,7939 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 999,7923
3 | 999, 7923 |
333, 2641 |
∴ So the LCM of the given numbers is 3 x 333 x 2641 = 2638359
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 999,7923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,7923) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(999,7923) x common factors =3 x 1 = 3
LCM(999,7923) = ( 999 × 7923 ) / 3
LCM(999,7923) = 7915077 / 3
LCM(999,7923) = 2638359
Lets's calculate GCF of 901,7939
17 | 901, 7939 |
53, 467 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2638359/17
Therefore the LCM of Fractions 999/901,7923/7939 is 2638359/17
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Factors of 7939
List of positive integer factors of 7939 that divides 7939 without a remainder.
1,17,467,7939
Greatest Common Factor
We found the factors 901,7939 . The biggest common factor number is the GCF number.
So the greatest common factor 901,7939 is 17.
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 999/901, 7923/7939?
Answer: LCM of Numerators as per given numbers 999/901, 7923/7939 is
LCM of Numerators i.e. for 999,7923 is 2638359
GCF of denominators i.e. for 901,7939 is 17.
Thus, LCM of Fractions is 2638359/17.Finally, LCM of Fractions for 999/901, 7923/7939 is 2638359/17.