Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 756/242, 102/999 quickly i.e. 12852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 756/242, 102/999 is 12852.
LCM(756/242, 102/999) = 12852
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 756/242,102/999
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 756,102
Least Common Multiple of Numerators i.e. LCM of 756,102 is 12852.
GCF of Denominators means GCF of 242,999 as per the given fractions.
GCF of 242,999 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 756,102
2 | 756, 102 |
3 | 378, 51 |
126, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 126 x 17 = 12852
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 756,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,102) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(756,102) x common factors =6 x 1 = 6
LCM(756,102) = ( 756 × 102 ) / 6
LCM(756,102) = 77112 / 6
LCM(756,102) = 12852
Lets's calculate GCF of 242,999
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12852/1
Therefore the LCM of Fractions 756/242,102/999 is 12852
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Greatest Common Factor
We found the factors 242,999 . The biggest common factor number is the GCF number.
So the greatest common factor 242,999 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 756/242, 102/999?
Answer: LCM of Numerators as per given numbers 756/242, 102/999 is
LCM of Numerators i.e. for 756,102 is 12852
GCF of denominators i.e. for 242,999 is 1.
Thus, LCM of Fractions is 12852.Finally, LCM of Fractions for 756/242, 102/999 is 12852.