Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2999/545, 2152/508 quickly i.e. 6453848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2999/545, 2152/508 is 6453848.
LCM(2999/545, 2152/508) = 6453848
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2999/545,2152/508
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 2999,2152
Least Common Multiple of Numerators i.e. LCM of 2999,2152 is 6453848.
GCF of Denominators means GCF of 545,508 as per the given fractions.
GCF of 545,508 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2999,2152
Given numbers has no common factors except 1. So, there LCM is their product i.e 6453848
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 2999,2152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2999,2152) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2999,2152) x common factors =1 x 1 = 1
LCM(2999,2152) = ( 2999 × 2152 ) / 1
LCM(2999,2152) = 6453848 / 1
LCM(2999,2152) = 6453848
Lets's calculate GCF of 545,508
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6453848/1
Therefore the LCM of Fractions 2999/545,2152/508 is 6453848
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 508
List of positive integer factors of 508 that divides 508 without a remainder.
1,2,4,127,254,508
Greatest Common Factor
We found the factors 545,508 . The biggest common factor number is the GCF number.
So the greatest common factor 545,508 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 2999/545, 2152/508?
Answer: LCM of Numerators as per given numbers 2999/545, 2152/508 is
LCM of Numerators i.e. for 2999,2152 is 6453848
GCF of denominators i.e. for 545,508 is 1.
Thus, LCM of Fractions is 6453848.Finally, LCM of Fractions for 2999/545, 2152/508 is 6453848.