Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/370, 3590/7318 quickly i.e. 25130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/370, 3590/7318 is 25130.
LCM(28/370, 3590/7318) = 25130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/370,3590/7318
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 28,3590
Least Common Multiple of Numerators i.e. LCM of 28,3590 is 50260.
GCF of Denominators means GCF of 370,7318 as per the given fractions.
GCF of 370,7318 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,3590
2 | 28, 3590 |
14, 1795 |
∴ So the LCM of the given numbers is 2 x 14 x 1795 = 50260
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 28,3590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,3590) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(28,3590) x common factors =2 x 1 = 2
LCM(28,3590) = ( 28 × 3590 ) / 2
LCM(28,3590) = 100520 / 2
LCM(28,3590) = 50260
Lets's calculate GCF of 370,7318
2 | 370, 7318 |
185, 3659 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50260/2
Therefore the LCM of Fractions 28/370,3590/7318 is 25130
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Factors of 7318
List of positive integer factors of 7318 that divides 7318 without a remainder.
1,2,3659,7318
Greatest Common Factor
We found the factors 370,7318 . The biggest common factor number is the GCF number.
So the greatest common factor 370,7318 is 2.
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 28/370, 3590/7318?
Answer: LCM of Numerators as per given numbers 28/370, 3590/7318 is
LCM of Numerators i.e. for 28,3590 is 50260
GCF of denominators i.e. for 370,7318 is 2.
Thus, LCM of Fractions is 25130.Finally, LCM of Fractions for 28/370, 3590/7318 is 25130.