Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/866, 595/118, 597/616 quickly i.e. 8169945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/866, 595/118, 597/616 is 8169945.
LCM(46/866, 595/118, 597/616) = 8169945
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/866,595/118,597/616
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 46,595,597
Least Common Multiple of Numerators i.e. LCM of 46,595,597 is 16339890.
GCF of Denominators means GCF of 866,118,616 as per the given fractions.
GCF of 866,118,616 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,595,597
Given numbers has no common factors except 1. So, there LCM is their product i.e 16339890
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 46,595,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,595,597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,595,597) x common factors =1 x 1 = 1
LCM(46,595,597) = ( 46 × 595 × 597 ) / 1
LCM(46,595,597) = 16339890 / 1
LCM(46,595,597) = 16339890
Lets's calculate GCF of 866,118,616
2 | 866, 118, 616 |
433, 59, 308 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16339890/2
Therefore the LCM of Fractions 46/866,595/118,597/616 is 8169945
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 866,118,616 . The biggest common factor number is the GCF number.
So the greatest common factor 866,118,616 is 2.
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 46/866, 595/118, 597/616?
Answer: LCM of Numerators as per given numbers 46/866, 595/118, 597/616 is
LCM of Numerators i.e. for 46,595,597 is 16339890
GCF of denominators i.e. for 866,118,616 is 2.
Thus, LCM of Fractions is 8169945.Finally, LCM of Fractions for 46/866, 595/118, 597/616 is 8169945.