Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/93, 70/99, 73/48, 28/783 quickly i.e. 10220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/93, 70/99, 73/48, 28/783 is 10220.
LCM(60/93, 70/99, 73/48, 28/783) = 10220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/93,70/99,73/48,28/783
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 60,70,73,28
Least Common Multiple of Numerators i.e. LCM of 60,70,73,28 is 30660.
GCF of Denominators means GCF of 93,99,48,783 as per the given fractions.
GCF of 93,99,48,783 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,70,73,28
2 | 60, 70, 73, 28 |
2 | 30, 35, 73, 14 |
5 | 15, 35, 73, 7 |
7 | 3, 7, 73, 7 |
3, 1, 73, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 3 x 1 x 73 x 1 = 30660
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 60,70,73,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,70,73,28) = 1
common factors(in case of two or more numbers have common factors) = 280
GCF(60,70,73,28) x common factors =1 x 280 = 280
LCM(60,70,73,28) = ( 60 × 70 × 73 × 28 ) / 280
LCM(60,70,73,28) = 8584800 / 280
LCM(60,70,73,28) = 30660
Lets's calculate GCF of 93,99,48,783
3 | 93, 99, 48, 783 |
31, 33, 16, 261 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30660/3
Therefore the LCM of Fractions 60/93,70/99,73/48,28/783 is 10220
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Greatest Common Factor
We found the factors 93,99,48,783 . The biggest common factor number is the GCF number.
So the greatest common factor 93,99,48,783 is 3.
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 60/93, 70/99, 73/48, 28/783?
Answer: LCM of Numerators as per given numbers 60/93, 70/99, 73/48, 28/783 is
LCM of Numerators i.e. for 60,70,73,28 is 30660
GCF of denominators i.e. for 93,99,48,783 is 3.
Thus, LCM of Fractions is 10220.Finally, LCM of Fractions for 60/93, 70/99, 73/48, 28/783 is 10220.