Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/497, 898/137, 424/511 quickly i.e. 15039704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/497, 898/137, 424/511 is 15039704.
LCM(79/497, 898/137, 424/511) = 15039704
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/497,898/137,424/511
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 79,898,424
Least Common Multiple of Numerators i.e. LCM of 79,898,424 is 15039704.
GCF of Denominators means GCF of 497,137,511 as per the given fractions.
GCF of 497,137,511 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,898,424
2 | 79, 898, 424 |
79, 449, 212 |
∴ So the LCM of the given numbers is 2 x 79 x 449 x 212 = 15039704
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 79,898,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,898,424) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(79,898,424) x common factors =1 x 2 = 2
LCM(79,898,424) = ( 79 × 898 × 424 ) / 2
LCM(79,898,424) = 30079408 / 2
LCM(79,898,424) = 15039704
Lets's calculate GCF of 497,137,511
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15039704/1
Therefore the LCM of Fractions 79/497,898/137,424/511 is 15039704
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Greatest Common Factor
We found the factors 497,137,511 . The biggest common factor number is the GCF number.
So the greatest common factor 497,137,511 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 79/497, 898/137, 424/511?
Answer: LCM of Numerators as per given numbers 79/497, 898/137, 424/511 is
LCM of Numerators i.e. for 79,898,424 is 15039704
GCF of denominators i.e. for 497,137,511 is 1.
Thus, LCM of Fractions is 15039704.Finally, LCM of Fractions for 79/497, 898/137, 424/511 is 15039704.