Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 585/804, 778/235, 623/550 quickly i.e. 283545990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 585/804, 778/235, 623/550 is 283545990.
LCM(585/804, 778/235, 623/550) = 283545990
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 585/804,778/235,623/550
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 585,778,623
Least Common Multiple of Numerators i.e. LCM of 585,778,623 is 283545990.
GCF of Denominators means GCF of 804,235,550 as per the given fractions.
GCF of 804,235,550 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 585,778,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 283545990
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 585,778,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,778,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(585,778,623) x common factors =1 x 1 = 1
LCM(585,778,623) = ( 585 × 778 × 623 ) / 1
LCM(585,778,623) = 283545990 / 1
LCM(585,778,623) = 283545990
Lets's calculate GCF of 804,235,550
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 283545990/1
Therefore the LCM of Fractions 585/804,778/235,623/550 is 283545990
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Greatest Common Factor
We found the factors 804,235,550 . The biggest common factor number is the GCF number.
So the greatest common factor 804,235,550 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 585/804, 778/235, 623/550?
Answer: LCM of Numerators as per given numbers 585/804, 778/235, 623/550 is
LCM of Numerators i.e. for 585,778,623 is 283545990
GCF of denominators i.e. for 804,235,550 is 1.
Thus, LCM of Fractions is 283545990.Finally, LCM of Fractions for 585/804, 778/235, 623/550 is 283545990.