Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 728/70, 549/95, 984/65 quickly i.e. 16386552/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 728/70, 549/95, 984/65 is 16386552/5.
LCM(728/70, 549/95, 984/65) = 16386552/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 728/70,549/95,984/65
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 728,549,984
Least Common Multiple of Numerators i.e. LCM of 728,549,984 is 16386552.
GCF of Denominators means GCF of 70,95,65 as per the given fractions.
GCF of 70,95,65 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 728,549,984
2 | 728, 549, 984 |
2 | 364, 549, 492 |
2 | 182, 549, 246 |
3 | 91, 549, 123 |
91, 183, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 91 x 183 x 41 = 16386552
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 728,549,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,549,984) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(728,549,984) x common factors =1 x 24 = 24
LCM(728,549,984) = ( 728 × 549 × 984 ) / 24
LCM(728,549,984) = 393277248 / 24
LCM(728,549,984) = 16386552
Lets's calculate GCF of 70,95,65
5 | 70, 95, 65 |
14, 19, 13 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16386552/5
Therefore the LCM of Fractions 728/70,549/95,984/65 is 16386552/5
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Greatest Common Factor
We found the factors 70,95,65 . The biggest common factor number is the GCF number.
So the greatest common factor 70,95,65 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 728/70, 549/95, 984/65?
Answer: LCM of Numerators as per given numbers 728/70, 549/95, 984/65 is
LCM of Numerators i.e. for 728,549,984 is 16386552
GCF of denominators i.e. for 70,95,65 is 5.
Thus, LCM of Fractions is 16386552/5.Finally, LCM of Fractions for 728/70, 549/95, 984/65 is 16386552/5.