Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 328/75, 920/7216 quickly i.e. 37720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 328/75, 920/7216 is 37720.
LCM(328/75, 920/7216) = 37720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 328/75,920/7216
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 328,920
Least Common Multiple of Numerators i.e. LCM of 328,920 is 37720.
GCF of Denominators means GCF of 75,7216 as per the given fractions.
GCF of 75,7216 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 328,920
2 | 328, 920 |
2 | 164, 460 |
2 | 82, 230 |
41, 115 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 115 = 37720
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 328,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,920) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(328,920) x common factors =8 x 1 = 8
LCM(328,920) = ( 328 × 920 ) / 8
LCM(328,920) = 301760 / 8
LCM(328,920) = 37720
Lets's calculate GCF of 75,7216
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37720/1
Therefore the LCM of Fractions 328/75,920/7216 is 37720
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 7216
List of positive integer factors of 7216 that divides 7216 without a remainder.
1,2,4,8,11,16,22,41,44,82,88,164,176,328,451,656,902,1804,3608,7216
Greatest Common Factor
We found the factors 75,7216 . The biggest common factor number is the GCF number.
So the greatest common factor 75,7216 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 328/75, 920/7216?
Answer: LCM of Numerators as per given numbers 328/75, 920/7216 is
LCM of Numerators i.e. for 328,920 is 37720
GCF of denominators i.e. for 75,7216 is 1.
Thus, LCM of Fractions is 37720.Finally, LCM of Fractions for 328/75, 920/7216 is 37720.