Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/668, 477/290, 915/883 quickly i.e. 145485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/668, 477/290, 915/883 is 145485.
LCM(61/668, 477/290, 915/883) = 145485
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/668,477/290,915/883
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 61,477,915
Least Common Multiple of Numerators i.e. LCM of 61,477,915 is 145485.
GCF of Denominators means GCF of 668,290,883 as per the given fractions.
GCF of 668,290,883 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,477,915
3 | 61, 477, 915 |
61 | 61, 159, 305 |
1, 159, 5 |
∴ So the LCM of the given numbers is 3 x 61 x 1 x 159 x 5 = 145485
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 61,477,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,477,915) = 1
common factors(in case of two or more numbers have common factors) = 183
GCF(61,477,915) x common factors =1 x 183 = 183
LCM(61,477,915) = ( 61 × 477 × 915 ) / 183
LCM(61,477,915) = 26623755 / 183
LCM(61,477,915) = 145485
Lets's calculate GCF of 668,290,883
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145485/1
Therefore the LCM of Fractions 61/668,477/290,915/883 is 145485
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
Greatest Common Factor
We found the factors 668,290,883 . The biggest common factor number is the GCF number.
So the greatest common factor 668,290,883 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 61/668, 477/290, 915/883?
Answer: LCM of Numerators as per given numbers 61/668, 477/290, 915/883 is
LCM of Numerators i.e. for 61,477,915 is 145485
GCF of denominators i.e. for 668,290,883 is 1.
Thus, LCM of Fractions is 145485.Finally, LCM of Fractions for 61/668, 477/290, 915/883 is 145485.