Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/26, 40/22, 738/56 quickly i.e. 7380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/26, 40/22, 738/56 is 7380.
LCM(36/26, 40/22, 738/56) = 7380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/26,40/22,738/56
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 36,40,738
Least Common Multiple of Numerators i.e. LCM of 36,40,738 is 14760.
GCF of Denominators means GCF of 26,22,56 as per the given fractions.
GCF of 26,22,56 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,40,738
2 | 36, 40, 738 |
2 | 18, 20, 369 |
3 | 9, 10, 369 |
3 | 3, 10, 123 |
1, 10, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 10 x 41 = 14760
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 36,40,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,40,738) = 2
common factors(in case of two or more numbers have common factors) = 36
GCF(36,40,738) x common factors =2 x 36 = 72
LCM(36,40,738) = ( 36 × 40 × 738 ) / 72
LCM(36,40,738) = 1062720 / 72
LCM(36,40,738) = 14760
Lets's calculate GCF of 26,22,56
2 | 26, 22, 56 |
13, 11, 28 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14760/2
Therefore the LCM of Fractions 36/26,40/22,738/56 is 7380
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Greatest Common Factor
We found the factors 26,22,56 . The biggest common factor number is the GCF number.
So the greatest common factor 26,22,56 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 36/26, 40/22, 738/56?
Answer: LCM of Numerators as per given numbers 36/26, 40/22, 738/56 is
LCM of Numerators i.e. for 36,40,738 is 14760
GCF of denominators i.e. for 26,22,56 is 2.
Thus, LCM of Fractions is 7380.Finally, LCM of Fractions for 36/26, 40/22, 738/56 is 7380.