Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 200/13, 623/45, 611/669 quickly i.e. 76130600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 200/13, 623/45, 611/669 is 76130600.
LCM(200/13, 623/45, 611/669) = 76130600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 200/13,623/45,611/669
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 200,623,611
Least Common Multiple of Numerators i.e. LCM of 200,623,611 is 76130600.
GCF of Denominators means GCF of 13,45,669 as per the given fractions.
GCF of 13,45,669 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 200,623,611
Given numbers has no common factors except 1. So, there LCM is their product i.e 76130600
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 200,623,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,623,611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(200,623,611) x common factors =1 x 1 = 1
LCM(200,623,611) = ( 200 × 623 × 611 ) / 1
LCM(200,623,611) = 76130600 / 1
LCM(200,623,611) = 76130600
Lets's calculate GCF of 13,45,669
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76130600/1
Therefore the LCM of Fractions 200/13,623/45,611/669 is 76130600
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Greatest Common Factor
We found the factors 13,45,669 . The biggest common factor number is the GCF number.
So the greatest common factor 13,45,669 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 200/13, 623/45, 611/669?
Answer: LCM of Numerators as per given numbers 200/13, 623/45, 611/669 is
LCM of Numerators i.e. for 200,623,611 is 76130600
GCF of denominators i.e. for 13,45,669 is 1.
Thus, LCM of Fractions is 76130600.Finally, LCM of Fractions for 200/13, 623/45, 611/669 is 76130600.