Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/760, 97/494, 418/878 quickly i.e. 20273 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/760, 97/494, 418/878 is 20273.
LCM(19/760, 97/494, 418/878) = 20273
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/760,97/494,418/878
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 19,97,418
Least Common Multiple of Numerators i.e. LCM of 19,97,418 is 40546.
GCF of Denominators means GCF of 760,494,878 as per the given fractions.
GCF of 760,494,878 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,97,418
19 | 19, 97, 418 |
1, 97, 22 |
∴ So the LCM of the given numbers is 19 x 1 x 97 x 22 = 40546
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 19,97,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,97,418) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(19,97,418) x common factors =1 x 19 = 19
LCM(19,97,418) = ( 19 × 97 × 418 ) / 19
LCM(19,97,418) = 770374 / 19
LCM(19,97,418) = 40546
Lets's calculate GCF of 760,494,878
2 | 760, 494, 878 |
380, 247, 439 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40546/2
Therefore the LCM of Fractions 19/760,97/494,418/878 is 20273
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Greatest Common Factor
We found the factors 760,494,878 . The biggest common factor number is the GCF number.
So the greatest common factor 760,494,878 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 19/760, 97/494, 418/878?
Answer: LCM of Numerators as per given numbers 19/760, 97/494, 418/878 is
LCM of Numerators i.e. for 19,97,418 is 40546
GCF of denominators i.e. for 760,494,878 is 2.
Thus, LCM of Fractions is 20273.Finally, LCM of Fractions for 19/760, 97/494, 418/878 is 20273.