Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/954, 507/10, 608/563 quickly i.e. 7706400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/954, 507/10, 608/563 is 7706400.
LCM(25/954, 507/10, 608/563) = 7706400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/954,507/10,608/563
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 25,507,608
Least Common Multiple of Numerators i.e. LCM of 25,507,608 is 7706400.
GCF of Denominators means GCF of 954,10,563 as per the given fractions.
GCF of 954,10,563 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,507,608
Given numbers has no common factors except 1. So, there LCM is their product i.e 7706400
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 25,507,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,507,608) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,507,608) x common factors =1 x 1 = 1
LCM(25,507,608) = ( 25 × 507 × 608 ) / 1
LCM(25,507,608) = 7706400 / 1
LCM(25,507,608) = 7706400
Lets's calculate GCF of 954,10,563
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7706400/1
Therefore the LCM of Fractions 25/954,507/10,608/563 is 7706400
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1,563
Greatest Common Factor
We found the factors 954,10,563 . The biggest common factor number is the GCF number.
So the greatest common factor 954,10,563 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 25/954, 507/10, 608/563?
Answer: LCM of Numerators as per given numbers 25/954, 507/10, 608/563 is
LCM of Numerators i.e. for 25,507,608 is 7706400
GCF of denominators i.e. for 954,10,563 is 1.
Thus, LCM of Fractions is 7706400.Finally, LCM of Fractions for 25/954, 507/10, 608/563 is 7706400.