Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/25, 77/68, 65/42, 19/775 quickly i.e. 570570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/25, 77/68, 65/42, 19/775 is 570570.
LCM(42/25, 77/68, 65/42, 19/775) = 570570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/25,77/68,65/42,19/775
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 42,77,65,19
Least Common Multiple of Numerators i.e. LCM of 42,77,65,19 is 570570.
GCF of Denominators means GCF of 25,68,42,775 as per the given fractions.
GCF of 25,68,42,775 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,77,65,19
7 | 42, 77, 65, 19 |
6, 11, 65, 19 |
∴ So the LCM of the given numbers is 7 x 6 x 11 x 65 x 19 = 570570
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 42,77,65,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,77,65,19) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(42,77,65,19) x common factors =1 x 7 = 7
LCM(42,77,65,19) = ( 42 × 77 × 65 × 19 ) / 7
LCM(42,77,65,19) = 3993990 / 7
LCM(42,77,65,19) = 570570
Lets's calculate GCF of 25,68,42,775
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 570570/1
Therefore the LCM of Fractions 42/25,77/68,65/42,19/775 is 570570
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Greatest Common Factor
We found the factors 25,68,42,775 . The biggest common factor number is the GCF number.
So the greatest common factor 25,68,42,775 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 42/25, 77/68, 65/42, 19/775?
Answer: LCM of Numerators as per given numbers 42/25, 77/68, 65/42, 19/775 is
LCM of Numerators i.e. for 42,77,65,19 is 570570
GCF of denominators i.e. for 25,68,42,775 is 1.
Thus, LCM of Fractions is 570570.Finally, LCM of Fractions for 42/25, 77/68, 65/42, 19/775 is 570570.