Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 238/546, 5716/797 quickly i.e. 680204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 238/546, 5716/797 is 680204.
LCM(238/546, 5716/797) = 680204
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 238/546,5716/797
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 238,5716
Least Common Multiple of Numerators i.e. LCM of 238,5716 is 680204.
GCF of Denominators means GCF of 546,797 as per the given fractions.
GCF of 546,797 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 238,5716
2 | 238, 5716 |
119, 2858 |
∴ So the LCM of the given numbers is 2 x 119 x 2858 = 680204
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 238,5716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,5716) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(238,5716) x common factors =2 x 1 = 2
LCM(238,5716) = ( 238 × 5716 ) / 2
LCM(238,5716) = 1360408 / 2
LCM(238,5716) = 680204
Lets's calculate GCF of 546,797
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 680204/1
Therefore the LCM of Fractions 238/546,5716/797 is 680204
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Greatest Common Factor
We found the factors 546,797 . The biggest common factor number is the GCF number.
So the greatest common factor 546,797 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 238/546, 5716/797?
Answer: LCM of Numerators as per given numbers 238/546, 5716/797 is
LCM of Numerators i.e. for 238,5716 is 680204
GCF of denominators i.e. for 546,797 is 1.
Thus, LCM of Fractions is 680204.Finally, LCM of Fractions for 238/546, 5716/797 is 680204.