Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2750/28, 3425/440 quickly i.e. 376750/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2750/28, 3425/440 is 376750/4.
LCM(2750/28, 3425/440) = 376750/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2750/28,3425/440
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 2750,3425
Least Common Multiple of Numerators i.e. LCM of 2750,3425 is 376750.
GCF of Denominators means GCF of 28,440 as per the given fractions.
GCF of 28,440 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2750,3425
5 | 2750, 3425 |
5 | 550, 685 |
110, 137 |
∴ So the LCM of the given numbers is 5 x 5 x 110 x 137 = 376750
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 2750,3425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2750,3425) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(2750,3425) x common factors =25 x 1 = 25
LCM(2750,3425) = ( 2750 × 3425 ) / 25
LCM(2750,3425) = 9418750 / 25
LCM(2750,3425) = 376750
Lets's calculate GCF of 28,440
2 | 28, 440 |
2 | 14, 220 |
7, 110 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 376750/4
Therefore the LCM of Fractions 2750/28,3425/440 is 376750/4
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Greatest Common Factor
We found the factors 28,440 . The biggest common factor number is the GCF number.
So the greatest common factor 28,440 is 4.
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 2750/28, 3425/440?
Answer: LCM of Numerators as per given numbers 2750/28, 3425/440 is
LCM of Numerators i.e. for 2750,3425 is 376750
GCF of denominators i.e. for 28,440 is 4.
Thus, LCM of Fractions is 376750/4.Finally, LCM of Fractions for 2750/28, 3425/440 is 376750/4.