Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/92, 5/22, 46/60, 43/589 quickly i.e. 69230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/92, 5/22, 46/60, 43/589 is 69230.
LCM(7/92, 5/22, 46/60, 43/589) = 69230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/92,5/22,46/60,43/589
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 7,5,46,43
Least Common Multiple of Numerators i.e. LCM of 7,5,46,43 is 69230.
GCF of Denominators means GCF of 92,22,60,589 as per the given fractions.
GCF of 92,22,60,589 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,5,46,43
Given numbers has no common factors except 1. So, there LCM is their product i.e 69230
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 7,5,46,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,5,46,43) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7,5,46,43) x common factors =1 x 1 = 1
LCM(7,5,46,43) = ( 7 × 5 × 46 × 43 ) / 1
LCM(7,5,46,43) = 69230 / 1
LCM(7,5,46,43) = 69230
Lets's calculate GCF of 92,22,60,589
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69230/1
Therefore the LCM of Fractions 7/92,5/22,46/60,43/589 is 69230
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Greatest Common Factor
We found the factors 92,22,60,589 . The biggest common factor number is the GCF number.
So the greatest common factor 92,22,60,589 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 7/92, 5/22, 46/60, 43/589?
Answer: LCM of Numerators as per given numbers 7/92, 5/22, 46/60, 43/589 is
LCM of Numerators i.e. for 7,5,46,43 is 69230
GCF of denominators i.e. for 92,22,60,589 is 1.
Thus, LCM of Fractions is 69230.Finally, LCM of Fractions for 7/92, 5/22, 46/60, 43/589 is 69230.