Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 625/650, 611/109, 578/460 quickly i.e. 220723750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 625/650, 611/109, 578/460 is 220723750.
LCM(625/650, 611/109, 578/460) = 220723750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 625/650,611/109,578/460
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 625,611,578
Least Common Multiple of Numerators i.e. LCM of 625,611,578 is 220723750.
GCF of Denominators means GCF of 650,109,460 as per the given fractions.
GCF of 650,109,460 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 625,611,578
Given numbers has no common factors except 1. So, there LCM is their product i.e 220723750
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 625,611,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,611,578) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(625,611,578) x common factors =1 x 1 = 1
LCM(625,611,578) = ( 625 × 611 × 578 ) / 1
LCM(625,611,578) = 220723750 / 1
LCM(625,611,578) = 220723750
Lets's calculate GCF of 650,109,460
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220723750/1
Therefore the LCM of Fractions 625/650,611/109,578/460 is 220723750
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 650,109,460 . The biggest common factor number is the GCF number.
So the greatest common factor 650,109,460 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 625/650, 611/109, 578/460?
Answer: LCM of Numerators as per given numbers 625/650, 611/109, 578/460 is
LCM of Numerators i.e. for 625,611,578 is 220723750
GCF of denominators i.e. for 650,109,460 is 1.
Thus, LCM of Fractions is 220723750.Finally, LCM of Fractions for 625/650, 611/109, 578/460 is 220723750.