Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/30, 43/754, 69/617 quickly i.e. 5934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/30, 43/754, 69/617 is 5934.
LCM(2/30, 43/754, 69/617) = 5934
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/30,43/754,69/617
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 2,43,69
Least Common Multiple of Numerators i.e. LCM of 2,43,69 is 5934.
GCF of Denominators means GCF of 30,754,617 as per the given fractions.
GCF of 30,754,617 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,43,69
Given numbers has no common factors except 1. So, there LCM is their product i.e 5934
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 2,43,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,43,69) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2,43,69) x common factors =1 x 1 = 1
LCM(2,43,69) = ( 2 × 43 × 69 ) / 1
LCM(2,43,69) = 5934 / 1
LCM(2,43,69) = 5934
Lets's calculate GCF of 30,754,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5934/1
Therefore the LCM of Fractions 2/30,43/754,69/617 is 5934
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Greatest Common Factor
We found the factors 30,754,617 . The biggest common factor number is the GCF number.
So the greatest common factor 30,754,617 is 1.
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 2/30, 43/754, 69/617?
Answer: LCM of Numerators as per given numbers 2/30, 43/754, 69/617 is
LCM of Numerators i.e. for 2,43,69 is 5934
GCF of denominators i.e. for 30,754,617 is 1.
Thus, LCM of Fractions is 5934.Finally, LCM of Fractions for 2/30, 43/754, 69/617 is 5934.