Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/65, 12/45, 33/12, 46/280 quickly i.e. 57684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/65, 12/45, 33/12, 46/280 is 57684.
LCM(76/65, 12/45, 33/12, 46/280) = 57684
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/65,12/45,33/12,46/280
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 76,12,33,46
Least Common Multiple of Numerators i.e. LCM of 76,12,33,46 is 57684.
GCF of Denominators means GCF of 65,45,12,280 as per the given fractions.
GCF of 65,45,12,280 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,12,33,46
2 | 76, 12, 33, 46 |
2 | 38, 6, 33, 23 |
3 | 19, 3, 33, 23 |
19, 1, 11, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 1 x 11 x 23 = 57684
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 76,12,33,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,12,33,46) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(76,12,33,46) x common factors =1 x 24 = 24
LCM(76,12,33,46) = ( 76 × 12 × 33 × 46 ) / 24
LCM(76,12,33,46) = 1384416 / 24
LCM(76,12,33,46) = 57684
Lets's calculate GCF of 65,45,12,280
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57684/1
Therefore the LCM of Fractions 76/65,12/45,33/12,46/280 is 57684
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 65,45,12,280 . The biggest common factor number is the GCF number.
So the greatest common factor 65,45,12,280 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 76/65, 12/45, 33/12, 46/280?
Answer: LCM of Numerators as per given numbers 76/65, 12/45, 33/12, 46/280 is
LCM of Numerators i.e. for 76,12,33,46 is 57684
GCF of denominators i.e. for 65,45,12,280 is 1.
Thus, LCM of Fractions is 57684.Finally, LCM of Fractions for 76/65, 12/45, 33/12, 46/280 is 57684.