Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/663, 466/933, 738/140 quickly i.e. 11177010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/663, 466/933, 738/140 is 11177010.
LCM(65/663, 466/933, 738/140) = 11177010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/663,466/933,738/140
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 65,466,738
Least Common Multiple of Numerators i.e. LCM of 65,466,738 is 11177010.
GCF of Denominators means GCF of 663,933,140 as per the given fractions.
GCF of 663,933,140 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,466,738
2 | 65, 466, 738 |
65, 233, 369 |
∴ So the LCM of the given numbers is 2 x 65 x 233 x 369 = 11177010
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 65,466,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,466,738) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(65,466,738) x common factors =1 x 2 = 2
LCM(65,466,738) = ( 65 × 466 × 738 ) / 2
LCM(65,466,738) = 22354020 / 2
LCM(65,466,738) = 11177010
Lets's calculate GCF of 663,933,140
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11177010/1
Therefore the LCM of Fractions 65/663,466/933,738/140 is 11177010
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 663,933,140 . The biggest common factor number is the GCF number.
So the greatest common factor 663,933,140 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 65/663, 466/933, 738/140?
Answer: LCM of Numerators as per given numbers 65/663, 466/933, 738/140 is
LCM of Numerators i.e. for 65,466,738 is 11177010
GCF of denominators i.e. for 663,933,140 is 1.
Thus, LCM of Fractions is 11177010.Finally, LCM of Fractions for 65/663, 466/933, 738/140 is 11177010.