Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9606/866, 4740/2156 quickly i.e. 3794370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9606/866, 4740/2156 is 3794370.
LCM(9606/866, 4740/2156) = 3794370
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9606/866,4740/2156
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 9606,4740
Least Common Multiple of Numerators i.e. LCM of 9606,4740 is 7588740.
GCF of Denominators means GCF of 866,2156 as per the given fractions.
GCF of 866,2156 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9606,4740
2 | 9606, 4740 |
3 | 4803, 2370 |
1601, 790 |
∴ So the LCM of the given numbers is 2 x 3 x 1601 x 790 = 7588740
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 9606,4740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9606,4740) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(9606,4740) x common factors =6 x 1 = 6
LCM(9606,4740) = ( 9606 × 4740 ) / 6
LCM(9606,4740) = 45532440 / 6
LCM(9606,4740) = 7588740
Lets's calculate GCF of 866,2156
2 | 866, 2156 |
433, 1078 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7588740/2
Therefore the LCM of Fractions 9606/866,4740/2156 is 3794370
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Factors of 2156
List of positive integer factors of 2156 that divides 2156 without a remainder.
1,2,4,7,11,14,22,28,44,49,77,98,154,196,308,539,1078,2156
Greatest Common Factor
We found the factors 866,2156 . The biggest common factor number is the GCF number.
So the greatest common factor 866,2156 is 2.
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 9606/866, 4740/2156?
Answer: LCM of Numerators as per given numbers 9606/866, 4740/2156 is
LCM of Numerators i.e. for 9606,4740 is 7588740
GCF of denominators i.e. for 866,2156 is 2.
Thus, LCM of Fractions is 3794370.Finally, LCM of Fractions for 9606/866, 4740/2156 is 3794370.