Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/825, 90/574, 517/645 quickly i.e. 2279970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/825, 90/574, 517/645 is 2279970.
LCM(49/825, 90/574, 517/645) = 2279970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/825,90/574,517/645
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 49,90,517
Least Common Multiple of Numerators i.e. LCM of 49,90,517 is 2279970.
GCF of Denominators means GCF of 825,574,645 as per the given fractions.
GCF of 825,574,645 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,90,517
Given numbers has no common factors except 1. So, there LCM is their product i.e 2279970
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 49,90,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,90,517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,90,517) x common factors =1 x 1 = 1
LCM(49,90,517) = ( 49 × 90 × 517 ) / 1
LCM(49,90,517) = 2279970 / 1
LCM(49,90,517) = 2279970
Lets's calculate GCF of 825,574,645
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2279970/1
Therefore the LCM of Fractions 49/825,90/574,517/645 is 2279970
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 825,574,645 . The biggest common factor number is the GCF number.
So the greatest common factor 825,574,645 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 49/825, 90/574, 517/645?
Answer: LCM of Numerators as per given numbers 49/825, 90/574, 517/645 is
LCM of Numerators i.e. for 49,90,517 is 2279970
GCF of denominators i.e. for 825,574,645 is 1.
Thus, LCM of Fractions is 2279970.Finally, LCM of Fractions for 49/825, 90/574, 517/645 is 2279970.