Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 120/15, 442/6308 quickly i.e. 26520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 120/15, 442/6308 is 26520.
LCM(120/15, 442/6308) = 26520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 120/15,442/6308
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 120,442
Least Common Multiple of Numerators i.e. LCM of 120,442 is 26520.
GCF of Denominators means GCF of 15,6308 as per the given fractions.
GCF of 15,6308 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 120,442
2 | 120, 442 |
60, 221 |
∴ So the LCM of the given numbers is 2 x 60 x 221 = 26520
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 120,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,442) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(120,442) x common factors =2 x 1 = 2
LCM(120,442) = ( 120 × 442 ) / 2
LCM(120,442) = 53040 / 2
LCM(120,442) = 26520
Lets's calculate GCF of 15,6308
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26520/1
Therefore the LCM of Fractions 120/15,442/6308 is 26520
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 6308
List of positive integer factors of 6308 that divides 6308 without a remainder.
1,2,4,19,38,76,83,166,332,1577,3154,6308
Greatest Common Factor
We found the factors 15,6308 . The biggest common factor number is the GCF number.
So the greatest common factor 15,6308 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 120/15, 442/6308?
Answer: LCM of Numerators as per given numbers 120/15, 442/6308 is
LCM of Numerators i.e. for 120,442 is 26520
GCF of denominators i.e. for 15,6308 is 1.
Thus, LCM of Fractions is 26520.Finally, LCM of Fractions for 120/15, 442/6308 is 26520.