Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/561, 66/938, 610/549 quickly i.e. 100650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/561, 66/938, 610/549 is 100650.
LCM(50/561, 66/938, 610/549) = 100650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/561,66/938,610/549
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 50,66,610
Least Common Multiple of Numerators i.e. LCM of 50,66,610 is 100650.
GCF of Denominators means GCF of 561,938,549 as per the given fractions.
GCF of 561,938,549 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,66,610
2 | 50, 66, 610 |
5 | 25, 33, 305 |
5, 33, 61 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 33 x 61 = 100650
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 50,66,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,66,610) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(50,66,610) x common factors =2 x 10 = 20
LCM(50,66,610) = ( 50 × 66 × 610 ) / 20
LCM(50,66,610) = 2013000 / 20
LCM(50,66,610) = 100650
Lets's calculate GCF of 561,938,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100650/1
Therefore the LCM of Fractions 50/561,66/938,610/549 is 100650
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Greatest Common Factor
We found the factors 561,938,549 . The biggest common factor number is the GCF number.
So the greatest common factor 561,938,549 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 50/561, 66/938, 610/549?
Answer: LCM of Numerators as per given numbers 50/561, 66/938, 610/549 is
LCM of Numerators i.e. for 50,66,610 is 100650
GCF of denominators i.e. for 561,938,549 is 1.
Thus, LCM of Fractions is 100650.Finally, LCM of Fractions for 50/561, 66/938, 610/549 is 100650.