Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/625, 2672/8260 quickly i.e. 24048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/625, 2672/8260 is 24048.
LCM(45/625, 2672/8260) = 24048
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/625,2672/8260
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 45,2672
Least Common Multiple of Numerators i.e. LCM of 45,2672 is 120240.
GCF of Denominators means GCF of 625,8260 as per the given fractions.
GCF of 625,8260 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,2672
Given numbers has no common factors except 1. So, there LCM is their product i.e 120240
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 45,2672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,2672) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,2672) x common factors =1 x 1 = 1
LCM(45,2672) = ( 45 × 2672 ) / 1
LCM(45,2672) = 120240 / 1
LCM(45,2672) = 120240
Lets's calculate GCF of 625,8260
5 | 625, 8260 |
125, 1652 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120240/5
Therefore the LCM of Fractions 45/625,2672/8260 is 24048
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Factors of 8260
List of positive integer factors of 8260 that divides 8260 without a remainder.
1,2,4,5,7,10,14,20,28,35,59,70,118,140,236,295,413,590,826,1180,1652,2065,4130,8260
Greatest Common Factor
We found the factors 625,8260 . The biggest common factor number is the GCF number.
So the greatest common factor 625,8260 is 5.
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 45/625, 2672/8260?
Answer: LCM of Numerators as per given numbers 45/625, 2672/8260 is
LCM of Numerators i.e. for 45,2672 is 120240
GCF of denominators i.e. for 625,8260 is 5.
Thus, LCM of Fractions is 24048.Finally, LCM of Fractions for 45/625, 2672/8260 is 24048.