Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/93, 28/88, 74/40, 56/330 quickly i.e. 64232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/93, 28/88, 74/40, 56/330 is 64232.
LCM(62/93, 28/88, 74/40, 56/330) = 64232
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/93,28/88,74/40,56/330
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 62,28,74,56
Least Common Multiple of Numerators i.e. LCM of 62,28,74,56 is 64232.
GCF of Denominators means GCF of 93,88,40,330 as per the given fractions.
GCF of 93,88,40,330 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,28,74,56
2 | 62, 28, 74, 56 |
2 | 31, 14, 37, 28 |
7 | 31, 7, 37, 14 |
31, 1, 37, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 31 x 1 x 37 x 2 = 64232
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 62,28,74,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,28,74,56) = 2
common factors(in case of two or more numbers have common factors) = 56
GCF(62,28,74,56) x common factors =2 x 56 = 112
LCM(62,28,74,56) = ( 62 × 28 × 74 × 56 ) / 112
LCM(62,28,74,56) = 7193984 / 112
LCM(62,28,74,56) = 64232
Lets's calculate GCF of 93,88,40,330
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64232/1
Therefore the LCM of Fractions 62/93,28/88,74/40,56/330 is 64232
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Greatest Common Factor
We found the factors 93,88,40,330 . The biggest common factor number is the GCF number.
So the greatest common factor 93,88,40,330 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 62/93, 28/88, 74/40, 56/330?
Answer: LCM of Numerators as per given numbers 62/93, 28/88, 74/40, 56/330 is
LCM of Numerators i.e. for 62,28,74,56 is 64232
GCF of denominators i.e. for 93,88,40,330 is 1.
Thus, LCM of Fractions is 64232.Finally, LCM of Fractions for 62/93, 28/88, 74/40, 56/330 is 64232.