Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/46, 59/90, 75/12 quickly i.e. 168150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/46, 59/90, 75/12 is 168150.
LCM(76/46, 59/90, 75/12) = 168150
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/46,59/90,75/12
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 76,59,75
Least Common Multiple of Numerators i.e. LCM of 76,59,75 is 336300.
GCF of Denominators means GCF of 46,90,12 as per the given fractions.
GCF of 46,90,12 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,59,75
Given numbers has no common factors except 1. So, there LCM is their product i.e 336300
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 76,59,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,59,75) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,59,75) x common factors =1 x 1 = 1
LCM(76,59,75) = ( 76 × 59 × 75 ) / 1
LCM(76,59,75) = 336300 / 1
LCM(76,59,75) = 336300
Lets's calculate GCF of 46,90,12
2 | 46, 90, 12 |
23, 45, 6 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336300/2
Therefore the LCM of Fractions 76/46,59/90,75/12 is 168150
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Greatest Common Factor
We found the factors 46,90,12 . The biggest common factor number is the GCF number.
So the greatest common factor 46,90,12 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 76/46, 59/90, 75/12?
Answer: LCM of Numerators as per given numbers 76/46, 59/90, 75/12 is
LCM of Numerators i.e. for 76,59,75 is 336300
GCF of denominators i.e. for 46,90,12 is 2.
Thus, LCM of Fractions is 168150.Finally, LCM of Fractions for 76/46, 59/90, 75/12 is 168150.