Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/13, 89/508, 28/300 quickly i.e. 2492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/13, 89/508, 28/300 is 2492.
LCM(7/13, 89/508, 28/300) = 2492
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/13,89/508,28/300
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 7,89,28
Least Common Multiple of Numerators i.e. LCM of 7,89,28 is 2492.
GCF of Denominators means GCF of 13,508,300 as per the given fractions.
GCF of 13,508,300 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,89,28
7 | 7, 89, 28 |
1, 89, 4 |
∴ So the LCM of the given numbers is 7 x 1 x 89 x 4 = 2492
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 7,89,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,89,28) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(7,89,28) x common factors =1 x 7 = 7
LCM(7,89,28) = ( 7 × 89 × 28 ) / 7
LCM(7,89,28) = 17444 / 7
LCM(7,89,28) = 2492
Lets's calculate GCF of 13,508,300
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2492/1
Therefore the LCM of Fractions 7/13,89/508,28/300 is 2492
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 508
List of positive integer factors of 508 that divides 508 without a remainder.
1,2,4,127,254,508
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 13,508,300 . The biggest common factor number is the GCF number.
So the greatest common factor 13,508,300 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 7/13, 89/508, 28/300?
Answer: LCM of Numerators as per given numbers 7/13, 89/508, 28/300 is
LCM of Numerators i.e. for 7,89,28 is 2492
GCF of denominators i.e. for 13,508,300 is 1.
Thus, LCM of Fractions is 2492.Finally, LCM of Fractions for 7/13, 89/508, 28/300 is 2492.