Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/80, 5/92, 94/43, 38/752 quickly i.e. 8930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/80, 5/92, 94/43, 38/752 is 8930.
LCM(5/80, 5/92, 94/43, 38/752) = 8930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/80,5/92,94/43,38/752
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 5,5,94,38
Least Common Multiple of Numerators i.e. LCM of 5,5,94,38 is 8930.
GCF of Denominators means GCF of 80,92,43,752 as per the given fractions.
GCF of 80,92,43,752 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,5,94,38
2 | 5, 5, 94, 38 |
5 | 5, 5, 47, 19 |
1, 1, 47, 19 |
∴ So the LCM of the given numbers is 2 x 5 x 1 x 1 x 47 x 19 = 8930
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 5,5,94,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,5,94,38) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(5,5,94,38) x common factors =1 x 10 = 10
LCM(5,5,94,38) = ( 5 × 5 × 94 × 38 ) / 10
LCM(5,5,94,38) = 89300 / 10
LCM(5,5,94,38) = 8930
Lets's calculate GCF of 80,92,43,752
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8930/1
Therefore the LCM of Fractions 5/80,5/92,94/43,38/752 is 8930
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 80,92,43,752 . The biggest common factor number is the GCF number.
So the greatest common factor 80,92,43,752 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 5/80, 5/92, 94/43, 38/752?
Answer: LCM of Numerators as per given numbers 5/80, 5/92, 94/43, 38/752 is
LCM of Numerators i.e. for 5,5,94,38 is 8930
GCF of denominators i.e. for 80,92,43,752 is 1.
Thus, LCM of Fractions is 8930.Finally, LCM of Fractions for 5/80, 5/92, 94/43, 38/752 is 8930.