Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 685/51, 257/49, 638/363 quickly i.e. 112316710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 685/51, 257/49, 638/363 is 112316710.
LCM(685/51, 257/49, 638/363) = 112316710
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 685/51,257/49,638/363
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 685,257,638
Least Common Multiple of Numerators i.e. LCM of 685,257,638 is 112316710.
GCF of Denominators means GCF of 51,49,363 as per the given fractions.
GCF of 51,49,363 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 685,257,638
Given numbers has no common factors except 1. So, there LCM is their product i.e 112316710
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 685,257,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,257,638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,257,638) x common factors =1 x 1 = 1
LCM(685,257,638) = ( 685 × 257 × 638 ) / 1
LCM(685,257,638) = 112316710 / 1
LCM(685,257,638) = 112316710
Lets's calculate GCF of 51,49,363
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112316710/1
Therefore the LCM of Fractions 685/51,257/49,638/363 is 112316710
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Greatest Common Factor
We found the factors 51,49,363 . The biggest common factor number is the GCF number.
So the greatest common factor 51,49,363 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 685/51, 257/49, 638/363?
Answer: LCM of Numerators as per given numbers 685/51, 257/49, 638/363 is
LCM of Numerators i.e. for 685,257,638 is 112316710
GCF of denominators i.e. for 51,49,363 is 1.
Thus, LCM of Fractions is 112316710.Finally, LCM of Fractions for 685/51, 257/49, 638/363 is 112316710.