Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 450/74, 309/36, 678/392 quickly i.e. 2618775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 450/74, 309/36, 678/392 is 2618775.
LCM(450/74, 309/36, 678/392) = 2618775
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 450/74,309/36,678/392
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 450,309,678
Least Common Multiple of Numerators i.e. LCM of 450,309,678 is 5237550.
GCF of Denominators means GCF of 74,36,392 as per the given fractions.
GCF of 74,36,392 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 450,309,678
2 | 450, 309, 678 |
3 | 225, 309, 339 |
75, 103, 113 |
∴ So the LCM of the given numbers is 2 x 3 x 75 x 103 x 113 = 5237550
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 450,309,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,309,678) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(450,309,678) x common factors =3 x 6 = 18
LCM(450,309,678) = ( 450 × 309 × 678 ) / 18
LCM(450,309,678) = 94275900 / 18
LCM(450,309,678) = 5237550
Lets's calculate GCF of 74,36,392
2 | 74, 36, 392 |
37, 18, 196 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5237550/2
Therefore the LCM of Fractions 450/74,309/36,678/392 is 2618775
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Greatest Common Factor
We found the factors 74,36,392 . The biggest common factor number is the GCF number.
So the greatest common factor 74,36,392 is 2.
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 450/74, 309/36, 678/392?
Answer: LCM of Numerators as per given numbers 450/74, 309/36, 678/392 is
LCM of Numerators i.e. for 450,309,678 is 5237550
GCF of denominators i.e. for 74,36,392 is 2.
Thus, LCM of Fractions is 2618775.Finally, LCM of Fractions for 450/74, 309/36, 678/392 is 2618775.