Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 316/456, 5056/829 quickly i.e. 5056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 316/456, 5056/829 is 5056.
LCM(316/456, 5056/829) = 5056
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 316/456,5056/829
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 316,5056
Least Common Multiple of Numerators i.e. LCM of 316,5056 is 5056.
GCF of Denominators means GCF of 456,829 as per the given fractions.
GCF of 456,829 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 316,5056
2 | 316, 5056 |
2 | 158, 2528 |
79 | 79, 1264 |
1, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 79 x 1 x 16 = 5056
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 316,5056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,5056) = 316
common factors(in case of two or more numbers have common factors) = 1
GCF(316,5056) x common factors =316 x 1 = 316
LCM(316,5056) = ( 316 × 5056 ) / 316
LCM(316,5056) = 1597696 / 316
LCM(316,5056) = 5056
Lets's calculate GCF of 456,829
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5056/1
Therefore the LCM of Fractions 316/456,5056/829 is 5056
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Greatest Common Factor
We found the factors 456,829 . The biggest common factor number is the GCF number.
So the greatest common factor 456,829 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 316/456, 5056/829?
Answer: LCM of Numerators as per given numbers 316/456, 5056/829 is
LCM of Numerators i.e. for 316,5056 is 5056
GCF of denominators i.e. for 456,829 is 1.
Thus, LCM of Fractions is 5056.Finally, LCM of Fractions for 316/456, 5056/829 is 5056.