Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 321/528, 4432/107 quickly i.e. 1422672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 321/528, 4432/107 is 1422672.
LCM(321/528, 4432/107) = 1422672
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 321/528,4432/107
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 321,4432
Least Common Multiple of Numerators i.e. LCM of 321,4432 is 1422672.
GCF of Denominators means GCF of 528,107 as per the given fractions.
GCF of 528,107 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 321,4432
Given numbers has no common factors except 1. So, there LCM is their product i.e 1422672
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 321,4432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,4432) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,4432) x common factors =1 x 1 = 1
LCM(321,4432) = ( 321 × 4432 ) / 1
LCM(321,4432) = 1422672 / 1
LCM(321,4432) = 1422672
Lets's calculate GCF of 528,107
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1422672/1
Therefore the LCM of Fractions 321/528,4432/107 is 1422672
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Factors of 107
List of positive integer factors of 107 that divides 107 without a remainder.
1,107
Greatest Common Factor
We found the factors 528,107 . The biggest common factor number is the GCF number.
So the greatest common factor 528,107 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 321/528, 4432/107?
Answer: LCM of Numerators as per given numbers 321/528, 4432/107 is
LCM of Numerators i.e. for 321,4432 is 1422672
GCF of denominators i.e. for 528,107 is 1.
Thus, LCM of Fractions is 1422672.Finally, LCM of Fractions for 321/528, 4432/107 is 1422672.