Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/755, 32/355, 73/985 quickly i.e. 2336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/755, 32/355, 73/985 is 2336.
LCM(5/755, 32/355, 73/985) = 2336
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/755,32/355,73/985
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 5,32,73
Least Common Multiple of Numerators i.e. LCM of 5,32,73 is 11680.
GCF of Denominators means GCF of 755,355,985 as per the given fractions.
GCF of 755,355,985 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,32,73
Given numbers has no common factors except 1. So, there LCM is their product i.e 11680
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 5,32,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,32,73) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5,32,73) x common factors =1 x 1 = 1
LCM(5,32,73) = ( 5 × 32 × 73 ) / 1
LCM(5,32,73) = 11680 / 1
LCM(5,32,73) = 11680
Lets's calculate GCF of 755,355,985
5 | 755, 355, 985 |
151, 71, 197 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11680/5
Therefore the LCM of Fractions 5/755,32/355,73/985 is 2336
Factors of 755
List of positive integer factors of 755 that divides 755 without a remainder.
1,5,151,755
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Greatest Common Factor
We found the factors 755,355,985 . The biggest common factor number is the GCF number.
So the greatest common factor 755,355,985 is 5.
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 5/755, 32/355, 73/985?
Answer: LCM of Numerators as per given numbers 5/755, 32/355, 73/985 is
LCM of Numerators i.e. for 5,32,73 is 11680
GCF of denominators i.e. for 755,355,985 is 5.
Thus, LCM of Fractions is 2336.Finally, LCM of Fractions for 5/755, 32/355, 73/985 is 2336.