Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/42, 19/915, 308/649 quickly i.e. 298452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/42, 19/915, 308/649 is 298452.
LCM(51/42, 19/915, 308/649) = 298452
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/42,19/915,308/649
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 51,19,308
Least Common Multiple of Numerators i.e. LCM of 51,19,308 is 298452.
GCF of Denominators means GCF of 42,915,649 as per the given fractions.
GCF of 42,915,649 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,19,308
Given numbers has no common factors except 1. So, there LCM is their product i.e 298452
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 51,19,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,19,308) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,19,308) x common factors =1 x 1 = 1
LCM(51,19,308) = ( 51 × 19 × 308 ) / 1
LCM(51,19,308) = 298452 / 1
LCM(51,19,308) = 298452
Lets's calculate GCF of 42,915,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298452/1
Therefore the LCM of Fractions 51/42,19/915,308/649 is 298452
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 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Greatest Common Factor
We found the factors 42,915,649 . The biggest common factor number is the GCF number.
So the greatest common factor 42,915,649 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 51/42, 19/915, 308/649?
Answer: LCM of Numerators as per given numbers 51/42, 19/915, 308/649 is
LCM of Numerators i.e. for 51,19,308 is 298452
GCF of denominators i.e. for 42,915,649 is 1.
Thus, LCM of Fractions is 298452.Finally, LCM of Fractions for 51/42, 19/915, 308/649 is 298452.