Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/16, 1/94, 8/92, 39/919 quickly i.e. 2184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/16, 1/94, 8/92, 39/919 is 2184.
LCM(7/16, 1/94, 8/92, 39/919) = 2184
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/16,1/94,8/92,39/919
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 7,1,8,39
Least Common Multiple of Numerators i.e. LCM of 7,1,8,39 is 2184.
GCF of Denominators means GCF of 16,94,92,919 as per the given fractions.
GCF of 16,94,92,919 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,1,8,39
Given numbers has no common factors except 1. So, there LCM is their product i.e 2184
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 7,1,8,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,1,8,39) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7,1,8,39) x common factors =1 x 1 = 1
LCM(7,1,8,39) = ( 7 × 1 × 8 × 39 ) / 1
LCM(7,1,8,39) = 2184 / 1
LCM(7,1,8,39) = 2184
Lets's calculate GCF of 16,94,92,919
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2184/1
Therefore the LCM of Fractions 7/16,1/94,8/92,39/919 is 2184
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Greatest Common Factor
We found the factors 16,94,92,919 . The biggest common factor number is the GCF number.
So the greatest common factor 16,94,92,919 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 7/16, 1/94, 8/92, 39/919?
Answer: LCM of Numerators as per given numbers 7/16, 1/94, 8/92, 39/919 is
LCM of Numerators i.e. for 7,1,8,39 is 2184
GCF of denominators i.e. for 16,94,92,919 is 1.
Thus, LCM of Fractions is 2184.Finally, LCM of Fractions for 7/16, 1/94, 8/92, 39/919 is 2184.