Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/29, 25/25, 68/73, 19/677 quickly i.e. 678300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/29, 25/25, 68/73, 19/677 is 678300.
LCM(42/29, 25/25, 68/73, 19/677) = 678300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/29,25/25,68/73,19/677
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 42,25,68,19
Least Common Multiple of Numerators i.e. LCM of 42,25,68,19 is 678300.
GCF of Denominators means GCF of 29,25,73,677 as per the given fractions.
GCF of 29,25,73,677 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,25,68,19
2 | 42, 25, 68, 19 |
21, 25, 34, 19 |
∴ So the LCM of the given numbers is 2 x 21 x 25 x 34 x 19 = 678300
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 42,25,68,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,25,68,19) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(42,25,68,19) x common factors =1 x 2 = 2
LCM(42,25,68,19) = ( 42 × 25 × 68 × 19 ) / 2
LCM(42,25,68,19) = 1356600 / 2
LCM(42,25,68,19) = 678300
Lets's calculate GCF of 29,25,73,677
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 678300/1
Therefore the LCM of Fractions 42/29,25/25,68/73,19/677 is 678300
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
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 29,25,73,677 . The biggest common factor number is the GCF number.
So the greatest common factor 29,25,73,677 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 42/29, 25/25, 68/73, 19/677?
Answer: LCM of Numerators as per given numbers 42/29, 25/25, 68/73, 19/677 is
LCM of Numerators i.e. for 42,25,68,19 is 678300
GCF of denominators i.e. for 29,25,73,677 is 1.
Thus, LCM of Fractions is 678300.Finally, LCM of Fractions for 42/29, 25/25, 68/73, 19/677 is 678300.