Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/718, 552/671, 230/646 quickly i.e. 113160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/718, 552/671, 230/646 is 113160.
LCM(41/718, 552/671, 230/646) = 113160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/718,552/671,230/646
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 41,552,230
Least Common Multiple of Numerators i.e. LCM of 41,552,230 is 113160.
GCF of Denominators means GCF of 718,671,646 as per the given fractions.
GCF of 718,671,646 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,552,230
2 | 41, 552, 230 |
23 | 41, 276, 115 |
41, 12, 5 |
∴ So the LCM of the given numbers is 2 x 23 x 41 x 12 x 5 = 113160
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 41,552,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,552,230) = 1
common factors(in case of two or more numbers have common factors) = 46
GCF(41,552,230) x common factors =1 x 46 = 46
LCM(41,552,230) = ( 41 × 552 × 230 ) / 46
LCM(41,552,230) = 5205360 / 46
LCM(41,552,230) = 113160
Lets's calculate GCF of 718,671,646
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113160/1
Therefore the LCM of Fractions 41/718,552/671,230/646 is 113160
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Greatest Common Factor
We found the factors 718,671,646 . The biggest common factor number is the GCF number.
So the greatest common factor 718,671,646 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 41/718, 552/671, 230/646?
Answer: LCM of Numerators as per given numbers 41/718, 552/671, 230/646 is
LCM of Numerators i.e. for 41,552,230 is 113160
GCF of denominators i.e. for 718,671,646 is 1.
Thus, LCM of Fractions is 113160.Finally, LCM of Fractions for 41/718, 552/671, 230/646 is 113160.