Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/95, 16/50, 764/730 quickly i.e. 113072/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/95, 16/50, 764/730 is 113072/5.
LCM(74/95, 16/50, 764/730) = 113072/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/95,16/50,764/730
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 74,16,764
Least Common Multiple of Numerators i.e. LCM of 74,16,764 is 113072.
GCF of Denominators means GCF of 95,50,730 as per the given fractions.
GCF of 95,50,730 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,16,764
2 | 74, 16, 764 |
2 | 37, 8, 382 |
37, 4, 191 |
∴ So the LCM of the given numbers is 2 x 2 x 37 x 4 x 191 = 113072
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 74,16,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,16,764) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(74,16,764) x common factors =2 x 4 = 8
LCM(74,16,764) = ( 74 × 16 × 764 ) / 8
LCM(74,16,764) = 904576 / 8
LCM(74,16,764) = 113072
Lets's calculate GCF of 95,50,730
5 | 95, 50, 730 |
19, 10, 146 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113072/5
Therefore the LCM of Fractions 74/95,16/50,764/730 is 113072/5
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Greatest Common Factor
We found the factors 95,50,730 . The biggest common factor number is the GCF number.
So the greatest common factor 95,50,730 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 74/95, 16/50, 764/730?
Answer: LCM of Numerators as per given numbers 74/95, 16/50, 764/730 is
LCM of Numerators i.e. for 74,16,764 is 113072
GCF of denominators i.e. for 95,50,730 is 5.
Thus, LCM of Fractions is 113072/5.Finally, LCM of Fractions for 74/95, 16/50, 764/730 is 113072/5.