Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/30, 790/20, 251/79 quickly i.e. 594870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/30, 790/20, 251/79 is 594870.
LCM(3/30, 790/20, 251/79) = 594870
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/30,790/20,251/79
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 3,790,251
Least Common Multiple of Numerators i.e. LCM of 3,790,251 is 594870.
GCF of Denominators means GCF of 30,20,79 as per the given fractions.
GCF of 30,20,79 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,790,251
Given numbers has no common factors except 1. So, there LCM is their product i.e 594870
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 3,790,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,790,251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3,790,251) x common factors =1 x 1 = 1
LCM(3,790,251) = ( 3 × 790 × 251 ) / 1
LCM(3,790,251) = 594870 / 1
LCM(3,790,251) = 594870
Lets's calculate GCF of 30,20,79
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 594870/1
Therefore the LCM of Fractions 3/30,790/20,251/79 is 594870
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 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Greatest Common Factor
We found the factors 30,20,79 . The biggest common factor number is the GCF number.
So the greatest common factor 30,20,79 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 3/30, 790/20, 251/79?
Answer: LCM of Numerators as per given numbers 3/30, 790/20, 251/79 is
LCM of Numerators i.e. for 3,790,251 is 594870
GCF of denominators i.e. for 30,20,79 is 1.
Thus, LCM of Fractions is 594870.Finally, LCM of Fractions for 3/30, 790/20, 251/79 is 594870.