Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 798/833, 117/402, 999/116 quickly i.e. 3454542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 798/833, 117/402, 999/116 is 3454542.
LCM(798/833, 117/402, 999/116) = 3454542
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 798/833,117/402,999/116
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 798,117,999
Least Common Multiple of Numerators i.e. LCM of 798,117,999 is 3454542.
GCF of Denominators means GCF of 833,402,116 as per the given fractions.
GCF of 833,402,116 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 798,117,999
3 | 798, 117, 999 |
3 | 266, 39, 333 |
266, 13, 111 |
∴ So the LCM of the given numbers is 3 x 3 x 266 x 13 x 111 = 3454542
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 798,117,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,117,999) = 3
common factors(in case of two or more numbers have common factors) = 9
GCF(798,117,999) x common factors =3 x 9 = 27
LCM(798,117,999) = ( 798 × 117 × 999 ) / 27
LCM(798,117,999) = 93272634 / 27
LCM(798,117,999) = 3454542
Lets's calculate GCF of 833,402,116
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3454542/1
Therefore the LCM of Fractions 798/833,117/402,999/116 is 3454542
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Greatest Common Factor
We found the factors 833,402,116 . The biggest common factor number is the GCF number.
So the greatest common factor 833,402,116 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 798/833, 117/402, 999/116?
Answer: LCM of Numerators as per given numbers 798/833, 117/402, 999/116 is
LCM of Numerators i.e. for 798,117,999 is 3454542
GCF of denominators i.e. for 833,402,116 is 1.
Thus, LCM of Fractions is 3454542.Finally, LCM of Fractions for 798/833, 117/402, 999/116 is 3454542.