Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/654, 30/114, 158/405 quickly i.e. 57670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/654, 30/114, 158/405 is 57670.
LCM(73/654, 30/114, 158/405) = 57670
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/654,30/114,158/405
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 73,30,158
Least Common Multiple of Numerators i.e. LCM of 73,30,158 is 173010.
GCF of Denominators means GCF of 654,114,405 as per the given fractions.
GCF of 654,114,405 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,30,158
2 | 73, 30, 158 |
73, 15, 79 |
∴ So the LCM of the given numbers is 2 x 73 x 15 x 79 = 173010
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 73,30,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,30,158) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(73,30,158) x common factors =1 x 2 = 2
LCM(73,30,158) = ( 73 × 30 × 158 ) / 2
LCM(73,30,158) = 346020 / 2
LCM(73,30,158) = 173010
Lets's calculate GCF of 654,114,405
3 | 654, 114, 405 |
218, 38, 135 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 173010/3
Therefore the LCM of Fractions 73/654,30/114,158/405 is 57670
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Greatest Common Factor
We found the factors 654,114,405 . The biggest common factor number is the GCF number.
So the greatest common factor 654,114,405 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 73/654, 30/114, 158/405?
Answer: LCM of Numerators as per given numbers 73/654, 30/114, 158/405 is
LCM of Numerators i.e. for 73,30,158 is 173010
GCF of denominators i.e. for 654,114,405 is 3.
Thus, LCM of Fractions is 57670.Finally, LCM of Fractions for 73/654, 30/114, 158/405 is 57670.