Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2603/552, 8995/2141 quickly i.e. 23413985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2603/552, 8995/2141 is 23413985.
LCM(2603/552, 8995/2141) = 23413985
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2603/552,8995/2141
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 2603,8995
Least Common Multiple of Numerators i.e. LCM of 2603,8995 is 23413985.
GCF of Denominators means GCF of 552,2141 as per the given fractions.
GCF of 552,2141 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2603,8995
Given numbers has no common factors except 1. So, there LCM is their product i.e 23413985
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 2603,8995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2603,8995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2603,8995) x common factors =1 x 1 = 1
LCM(2603,8995) = ( 2603 × 8995 ) / 1
LCM(2603,8995) = 23413985 / 1
LCM(2603,8995) = 23413985
Lets's calculate GCF of 552,2141
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23413985/1
Therefore the LCM of Fractions 2603/552,8995/2141 is 23413985
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 2141
List of positive integer factors of 2141 that divides 2141 without a remainder.
1,2141
Greatest Common Factor
We found the factors 552,2141 . The biggest common factor number is the GCF number.
So the greatest common factor 552,2141 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 2603/552, 8995/2141?
Answer: LCM of Numerators as per given numbers 2603/552, 8995/2141 is
LCM of Numerators i.e. for 2603,8995 is 23413985
GCF of denominators i.e. for 552,2141 is 1.
Thus, LCM of Fractions is 23413985.Finally, LCM of Fractions for 2603/552, 8995/2141 is 23413985.