Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 351/498, 786/316, 616/331 quickly i.e. 28324296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 351/498, 786/316, 616/331 is 28324296.
LCM(351/498, 786/316, 616/331) = 28324296
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 351/498,786/316,616/331
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 351,786,616
Least Common Multiple of Numerators i.e. LCM of 351,786,616 is 28324296.
GCF of Denominators means GCF of 498,316,331 as per the given fractions.
GCF of 498,316,331 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 351,786,616
2 | 351, 786, 616 |
3 | 351, 393, 308 |
117, 131, 308 |
∴ So the LCM of the given numbers is 2 x 3 x 117 x 131 x 308 = 28324296
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 351,786,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,786,616) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(351,786,616) x common factors =1 x 6 = 6
LCM(351,786,616) = ( 351 × 786 × 616 ) / 6
LCM(351,786,616) = 169945776 / 6
LCM(351,786,616) = 28324296
Lets's calculate GCF of 498,316,331
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28324296/1
Therefore the LCM of Fractions 351/498,786/316,616/331 is 28324296
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Greatest Common Factor
We found the factors 498,316,331 . The biggest common factor number is the GCF number.
So the greatest common factor 498,316,331 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 351/498, 786/316, 616/331?
Answer: LCM of Numerators as per given numbers 351/498, 786/316, 616/331 is
LCM of Numerators i.e. for 351,786,616 is 28324296
GCF of denominators i.e. for 498,316,331 is 1.
Thus, LCM of Fractions is 28324296.Finally, LCM of Fractions for 351/498, 786/316, 616/331 is 28324296.