Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 609/545, 628/363, 985/926 quickly i.e. 376715220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 609/545, 628/363, 985/926 is 376715220.
LCM(609/545, 628/363, 985/926) = 376715220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 609/545,628/363,985/926
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 609,628,985
Least Common Multiple of Numerators i.e. LCM of 609,628,985 is 376715220.
GCF of Denominators means GCF of 545,363,926 as per the given fractions.
GCF of 545,363,926 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 609,628,985
Given numbers has no common factors except 1. So, there LCM is their product i.e 376715220
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 609,628,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,628,985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(609,628,985) x common factors =1 x 1 = 1
LCM(609,628,985) = ( 609 × 628 × 985 ) / 1
LCM(609,628,985) = 376715220 / 1
LCM(609,628,985) = 376715220
Lets's calculate GCF of 545,363,926
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 376715220/1
Therefore the LCM of Fractions 609/545,628/363,985/926 is 376715220
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Greatest Common Factor
We found the factors 545,363,926 . The biggest common factor number is the GCF number.
So the greatest common factor 545,363,926 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 609/545, 628/363, 985/926?
Answer: LCM of Numerators as per given numbers 609/545, 628/363, 985/926 is
LCM of Numerators i.e. for 609,628,985 is 376715220
GCF of denominators i.e. for 545,363,926 is 1.
Thus, LCM of Fractions is 376715220.Finally, LCM of Fractions for 609/545, 628/363, 985/926 is 376715220.