Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/92, 18/435, 985/251 quickly i.e. 195030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/92, 18/435, 985/251 is 195030.
LCM(11/92, 18/435, 985/251) = 195030
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/92,18/435,985/251
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 11,18,985
Least Common Multiple of Numerators i.e. LCM of 11,18,985 is 195030.
GCF of Denominators means GCF of 92,435,251 as per the given fractions.
GCF of 92,435,251 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,18,985
Given numbers has no common factors except 1. So, there LCM is their product i.e 195030
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 11,18,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,18,985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,18,985) x common factors =1 x 1 = 1
LCM(11,18,985) = ( 11 × 18 × 985 ) / 1
LCM(11,18,985) = 195030 / 1
LCM(11,18,985) = 195030
Lets's calculate GCF of 92,435,251
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195030/1
Therefore the LCM of Fractions 11/92,18/435,985/251 is 195030
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 251
List of positive integer factors of 251 that divides 251 without a remainder.
1,251
Greatest Common Factor
We found the factors 92,435,251 . The biggest common factor number is the GCF number.
So the greatest common factor 92,435,251 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 11/92, 18/435, 985/251?
Answer: LCM of Numerators as per given numbers 11/92, 18/435, 985/251 is
LCM of Numerators i.e. for 11,18,985 is 195030
GCF of denominators i.e. for 92,435,251 is 1.
Thus, LCM of Fractions is 195030.Finally, LCM of Fractions for 11/92, 18/435, 985/251 is 195030.