Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/54, 606/91, 756/691 quickly i.e. 76356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/54, 606/91, 756/691 is 76356.
LCM(36/54, 606/91, 756/691) = 76356
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/54,606/91,756/691
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 36,606,756
Least Common Multiple of Numerators i.e. LCM of 36,606,756 is 76356.
GCF of Denominators means GCF of 54,91,691 as per the given fractions.
GCF of 54,91,691 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,606,756
2 | 36, 606, 756 |
2 | 18, 303, 378 |
3 | 9, 303, 189 |
3 | 3, 101, 63 |
1, 101, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 101 x 21 = 76356
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 36,606,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,606,756) = 6
common factors(in case of two or more numbers have common factors) = 36
GCF(36,606,756) x common factors =6 x 36 = 216
LCM(36,606,756) = ( 36 × 606 × 756 ) / 216
LCM(36,606,756) = 16492896 / 216
LCM(36,606,756) = 76356
Lets's calculate GCF of 54,91,691
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76356/1
Therefore the LCM of Fractions 36/54,606/91,756/691 is 76356
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 691
List of positive integer factors of 691 that divides 691 without a remainder.
1,691
Greatest Common Factor
We found the factors 54,91,691 . The biggest common factor number is the GCF number.
So the greatest common factor 54,91,691 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 36/54, 606/91, 756/691?
Answer: LCM of Numerators as per given numbers 36/54, 606/91, 756/691 is
LCM of Numerators i.e. for 36,606,756 is 76356
GCF of denominators i.e. for 54,91,691 is 1.
Thus, LCM of Fractions is 76356.Finally, LCM of Fractions for 36/54, 606/91, 756/691 is 76356.