Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 670/18, 642/82, 315/112 quickly i.e. 2258235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 670/18, 642/82, 315/112 is 2258235.
LCM(670/18, 642/82, 315/112) = 2258235
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 670/18,642/82,315/112
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 670,642,315
Least Common Multiple of Numerators i.e. LCM of 670,642,315 is 4516470.
GCF of Denominators means GCF of 18,82,112 as per the given fractions.
GCF of 18,82,112 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 670,642,315
2 | 670, 642, 315 |
3 | 335, 321, 315 |
5 | 335, 107, 105 |
67, 107, 21 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 67 x 107 x 21 = 4516470
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 670,642,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,642,315) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(670,642,315) x common factors =1 x 30 = 30
LCM(670,642,315) = ( 670 × 642 × 315 ) / 30
LCM(670,642,315) = 135494100 / 30
LCM(670,642,315) = 4516470
Lets's calculate GCF of 18,82,112
2 | 18, 82, 112 |
9, 41, 56 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4516470/2
Therefore the LCM of Fractions 670/18,642/82,315/112 is 2258235
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Greatest Common Factor
We found the factors 18,82,112 . The biggest common factor number is the GCF number.
So the greatest common factor 18,82,112 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 670/18, 642/82, 315/112?
Answer: LCM of Numerators as per given numbers 670/18, 642/82, 315/112 is
LCM of Numerators i.e. for 670,642,315 is 4516470
GCF of denominators i.e. for 18,82,112 is 2.
Thus, LCM of Fractions is 2258235.Finally, LCM of Fractions for 670/18, 642/82, 315/112 is 2258235.