Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/19, 2/73, 12/79, 40/677 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 1/19, 2/73, 12/79, 40/677 is 120.
LCM(1/19, 2/73, 12/79, 40/677) = 120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/19,2/73,12/79,40/677
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 1,2,12,40
Least Common Multiple of Numerators i.e. LCM of 1,2,12,40 is 120.
GCF of Denominators means GCF of 19,73,79,677 as per the given fractions.
GCF of 19,73,79,677 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,2,12,40
2 | 1, 2, 12, 40 |
2 | 1, 1, 6, 20 |
1, 1, 3, 10 |
∴ So the LCM of the given numbers is 2 x 2 x 1 x 1 x 3 x 10 = 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 1,2,12,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,2,12,40) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(1,2,12,40) x common factors =1 x 8 = 8
LCM(1,2,12,40) = ( 1 × 2 × 12 × 40 ) / 8
LCM(1,2,12,40) = 960 / 8
LCM(1,2,12,40) = 120
Lets's calculate GCF of 19,73,79,677
∴ 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 1/19,2/73,12/79,40/677 is 120
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Greatest Common Factor
We found the factors 19,73,79,677 . The biggest common factor number is the GCF number.
So the greatest common factor 19,73,79,677 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 1/19, 2/73, 12/79, 40/677?
Answer: LCM of Numerators as per given numbers 1/19, 2/73, 12/79, 40/677 is
LCM of Numerators i.e. for 1,2,12,40 is 120
GCF of denominators i.e. for 19,73,79,677 is 1.
Thus, LCM of Fractions is 120.Finally, LCM of Fractions for 1/19, 2/73, 12/79, 40/677 is 120.