Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/76, 120/56, 588/334 quickly i.e. 8820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/76, 120/56, 588/334 is 8820.
LCM(36/76, 120/56, 588/334) = 8820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/76,120/56,588/334
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 36,120,588
Least Common Multiple of Numerators i.e. LCM of 36,120,588 is 17640.
GCF of Denominators means GCF of 76,56,334 as per the given fractions.
GCF of 76,56,334 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,120,588
2 | 36, 120, 588 |
2 | 18, 60, 294 |
3 | 9, 30, 147 |
3, 10, 49 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 10 x 49 = 17640
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 36,120,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,120,588) = 12
common factors(in case of two or more numbers have common factors) = 12
GCF(36,120,588) x common factors =12 x 12 = 144
LCM(36,120,588) = ( 36 × 120 × 588 ) / 144
LCM(36,120,588) = 2540160 / 144
LCM(36,120,588) = 17640
Lets's calculate GCF of 76,56,334
2 | 76, 56, 334 |
38, 28, 167 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17640/2
Therefore the LCM of Fractions 36/76,120/56,588/334 is 8820
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Greatest Common Factor
We found the factors 76,56,334 . The biggest common factor number is the GCF number.
So the greatest common factor 76,56,334 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 36/76, 120/56, 588/334?
Answer: LCM of Numerators as per given numbers 36/76, 120/56, 588/334 is
LCM of Numerators i.e. for 36,120,588 is 17640
GCF of denominators i.e. for 76,56,334 is 2.
Thus, LCM of Fractions is 8820.Finally, LCM of Fractions for 36/76, 120/56, 588/334 is 8820.