Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6141/145, 2804/925 quickly i.e. 17219364/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6141/145, 2804/925 is 17219364/5.
LCM(6141/145, 2804/925) = 17219364/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6141/145,2804/925
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 6141,2804
Least Common Multiple of Numerators i.e. LCM of 6141,2804 is 17219364.
GCF of Denominators means GCF of 145,925 as per the given fractions.
GCF of 145,925 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6141,2804
Given numbers has no common factors except 1. So, there LCM is their product i.e 17219364
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 6141,2804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6141,2804) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6141,2804) x common factors =1 x 1 = 1
LCM(6141,2804) = ( 6141 × 2804 ) / 1
LCM(6141,2804) = 17219364 / 1
LCM(6141,2804) = 17219364
Lets's calculate GCF of 145,925
5 | 145, 925 |
29, 185 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17219364/5
Therefore the LCM of Fractions 6141/145,2804/925 is 17219364/5
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Greatest Common Factor
We found the factors 145,925 . The biggest common factor number is the GCF number.
So the greatest common factor 145,925 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 6141/145, 2804/925?
Answer: LCM of Numerators as per given numbers 6141/145, 2804/925 is
LCM of Numerators i.e. for 6141,2804 is 17219364
GCF of denominators i.e. for 145,925 is 5.
Thus, LCM of Fractions is 17219364/5.Finally, LCM of Fractions for 6141/145, 2804/925 is 17219364/5.