Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1328/66, 7196/677 quickly i.e. 2389072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1328/66, 7196/677 is 2389072.
LCM(1328/66, 7196/677) = 2389072
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1328/66,7196/677
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 1328,7196
Least Common Multiple of Numerators i.e. LCM of 1328,7196 is 2389072.
GCF of Denominators means GCF of 66,677 as per the given fractions.
GCF of 66,677 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1328,7196
2 | 1328, 7196 |
2 | 664, 3598 |
332, 1799 |
∴ So the LCM of the given numbers is 2 x 2 x 332 x 1799 = 2389072
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 1328,7196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1328,7196) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(1328,7196) x common factors =4 x 1 = 4
LCM(1328,7196) = ( 1328 × 7196 ) / 4
LCM(1328,7196) = 9556288 / 4
LCM(1328,7196) = 2389072
Lets's calculate GCF of 66,677
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2389072/1
Therefore the LCM of Fractions 1328/66,7196/677 is 2389072
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Greatest Common Factor
We found the factors 66,677 . The biggest common factor number is the GCF number.
So the greatest common factor 66,677 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 1328/66, 7196/677?
Answer: LCM of Numerators as per given numbers 1328/66, 7196/677 is
LCM of Numerators i.e. for 1328,7196 is 2389072
GCF of denominators i.e. for 66,677 is 1.
Thus, LCM of Fractions is 2389072.Finally, LCM of Fractions for 1328/66, 7196/677 is 2389072.