Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/64, 37/43, 74/18, 30/952 quickly i.e. 8880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/64, 37/43, 74/18, 30/952 is 8880.
LCM(80/64, 37/43, 74/18, 30/952) = 8880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/64,37/43,74/18,30/952
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 80,37,74,30
Least Common Multiple of Numerators i.e. LCM of 80,37,74,30 is 8880.
GCF of Denominators means GCF of 64,43,18,952 as per the given fractions.
GCF of 64,43,18,952 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,37,74,30
2 | 80, 37, 74, 30 |
5 | 40, 37, 37, 15 |
37 | 8, 37, 37, 3 |
8, 1, 1, 3 |
∴ So the LCM of the given numbers is 2 x 5 x 37 x 8 x 1 x 1 x 3 = 8880
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 80,37,74,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,37,74,30) = 1
common factors(in case of two or more numbers have common factors) = 740
GCF(80,37,74,30) x common factors =1 x 740 = 740
LCM(80,37,74,30) = ( 80 × 37 × 74 × 30 ) / 740
LCM(80,37,74,30) = 6571200 / 740
LCM(80,37,74,30) = 8880
Lets's calculate GCF of 64,43,18,952
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8880/1
Therefore the LCM of Fractions 80/64,37/43,74/18,30/952 is 8880
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Greatest Common Factor
We found the factors 64,43,18,952 . The biggest common factor number is the GCF number.
So the greatest common factor 64,43,18,952 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 80/64, 37/43, 74/18, 30/952?
Answer: LCM of Numerators as per given numbers 80/64, 37/43, 74/18, 30/952 is
LCM of Numerators i.e. for 80,37,74,30 is 8880
GCF of denominators i.e. for 64,43,18,952 is 1.
Thus, LCM of Fractions is 8880.Finally, LCM of Fractions for 80/64, 37/43, 74/18, 30/952 is 8880.