Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 966/252, 6829/212 quickly i.e. 6596814/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 966/252, 6829/212 is 6596814/4.
LCM(966/252, 6829/212) = 6596814/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 966/252,6829/212
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 966,6829
Least Common Multiple of Numerators i.e. LCM of 966,6829 is 6596814.
GCF of Denominators means GCF of 252,212 as per the given fractions.
GCF of 252,212 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 966,6829
Given numbers has no common factors except 1. So, there LCM is their product i.e 6596814
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 966,6829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,6829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(966,6829) x common factors =1 x 1 = 1
LCM(966,6829) = ( 966 × 6829 ) / 1
LCM(966,6829) = 6596814 / 1
LCM(966,6829) = 6596814
Lets's calculate GCF of 252,212
2 | 252, 212 |
2 | 126, 106 |
63, 53 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6596814/4
Therefore the LCM of Fractions 966/252,6829/212 is 6596814/4
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Greatest Common Factor
We found the factors 252,212 . The biggest common factor number is the GCF number.
So the greatest common factor 252,212 is 4.
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 966/252, 6829/212?
Answer: LCM of Numerators as per given numbers 966/252, 6829/212 is
LCM of Numerators i.e. for 966,6829 is 6596814
GCF of denominators i.e. for 252,212 is 4.
Thus, LCM of Fractions is 6596814/4.Finally, LCM of Fractions for 966/252, 6829/212 is 6596814/4.