Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 753/87, 325/23, 448/564 quickly i.e. 109636800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 753/87, 325/23, 448/564 is 109636800.
LCM(753/87, 325/23, 448/564) = 109636800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 753/87,325/23,448/564
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 753,325,448
Least Common Multiple of Numerators i.e. LCM of 753,325,448 is 109636800.
GCF of Denominators means GCF of 87,23,564 as per the given fractions.
GCF of 87,23,564 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 753,325,448
Given numbers has no common factors except 1. So, there LCM is their product i.e 109636800
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 753,325,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(753,325,448) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(753,325,448) x common factors =1 x 1 = 1
LCM(753,325,448) = ( 753 × 325 × 448 ) / 1
LCM(753,325,448) = 109636800 / 1
LCM(753,325,448) = 109636800
Lets's calculate GCF of 87,23,564
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109636800/1
Therefore the LCM of Fractions 753/87,325/23,448/564 is 109636800
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 87,23,564 . The biggest common factor number is the GCF number.
So the greatest common factor 87,23,564 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 753/87, 325/23, 448/564?
Answer: LCM of Numerators as per given numbers 753/87, 325/23, 448/564 is
LCM of Numerators i.e. for 753,325,448 is 109636800
GCF of denominators i.e. for 87,23,564 is 1.
Thus, LCM of Fractions is 109636800.Finally, LCM of Fractions for 753/87, 325/23, 448/564 is 109636800.