Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/33, 5/28, 35/42, 45/569 quickly i.e. 315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/33, 5/28, 35/42, 45/569 is 315.
LCM(7/33, 5/28, 35/42, 45/569) = 315
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/33,5/28,35/42,45/569
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 7,5,35,45
Least Common Multiple of Numerators i.e. LCM of 7,5,35,45 is 315.
GCF of Denominators means GCF of 33,28,42,569 as per the given fractions.
GCF of 33,28,42,569 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,5,35,45
5 | 7, 5, 35, 45 |
7 | 7, 1, 7, 9 |
1, 1, 1, 9 |
∴ So the LCM of the given numbers is 5 x 7 x 1 x 1 x 1 x 9 = 315
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 7,5,35,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,5,35,45) = 1
common factors(in case of two or more numbers have common factors) = 175
GCF(7,5,35,45) x common factors =1 x 175 = 175
LCM(7,5,35,45) = ( 7 × 5 × 35 × 45 ) / 175
LCM(7,5,35,45) = 55125 / 175
LCM(7,5,35,45) = 315
Lets's calculate GCF of 33,28,42,569
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 315/1
Therefore the LCM of Fractions 7/33,5/28,35/42,45/569 is 315
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 569
List of positive integer factors of 569 that divides 569 without a remainder.
1,569
Greatest Common Factor
We found the factors 33,28,42,569 . The biggest common factor number is the GCF number.
So the greatest common factor 33,28,42,569 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 7/33, 5/28, 35/42, 45/569?
Answer: LCM of Numerators as per given numbers 7/33, 5/28, 35/42, 45/569 is
LCM of Numerators i.e. for 7,5,35,45 is 315
GCF of denominators i.e. for 33,28,42,569 is 1.
Thus, LCM of Fractions is 315.Finally, LCM of Fractions for 7/33, 5/28, 35/42, 45/569 is 315.