Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/83, 8/13, 15/35, 40/670 quickly i.e. 120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/83, 8/13, 15/35, 40/670 is 120.
LCM(4/83, 8/13, 15/35, 40/670) = 120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/83,8/13,15/35,40/670
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 4,8,15,40
Least Common Multiple of Numerators i.e. LCM of 4,8,15,40 is 120.
GCF of Denominators means GCF of 83,13,35,670 as per the given fractions.
GCF of 83,13,35,670 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,8,15,40
2 | 4, 8, 15, 40 |
2 | 2, 4, 15, 20 |
2 | 1, 2, 15, 10 |
5 | 1, 1, 15, 5 |
1, 1, 3, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 1 x 3 x 1 = 120
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 4,8,15,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,8,15,40) = 1
common factors(in case of two or more numbers have common factors) = 160
GCF(4,8,15,40) x common factors =1 x 160 = 160
LCM(4,8,15,40) = ( 4 × 8 × 15 × 40 ) / 160
LCM(4,8,15,40) = 19200 / 160
LCM(4,8,15,40) = 120
Lets's calculate GCF of 83,13,35,670
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120/1
Therefore the LCM of Fractions 4/83,8/13,15/35,40/670 is 120
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Greatest Common Factor
We found the factors 83,13,35,670 . The biggest common factor number is the GCF number.
So the greatest common factor 83,13,35,670 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 4/83, 8/13, 15/35, 40/670?
Answer: LCM of Numerators as per given numbers 4/83, 8/13, 15/35, 40/670 is
LCM of Numerators i.e. for 4,8,15,40 is 120
GCF of denominators i.e. for 83,13,35,670 is 1.
Thus, LCM of Fractions is 120.Finally, LCM of Fractions for 4/83, 8/13, 15/35, 40/670 is 120.