Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 353/49, 190/259 quickly i.e. 67070/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 353/49, 190/259 is 67070/7.
LCM(353/49, 190/259) = 67070/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 353/49,190/259
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 353,190
Least Common Multiple of Numerators i.e. LCM of 353,190 is 67070.
GCF of Denominators means GCF of 49,259 as per the given fractions.
GCF of 49,259 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 353,190
Given numbers has no common factors except 1. So, there LCM is their product i.e 67070
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 353,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,190) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,190) x common factors =1 x 1 = 1
LCM(353,190) = ( 353 × 190 ) / 1
LCM(353,190) = 67070 / 1
LCM(353,190) = 67070
Lets's calculate GCF of 49,259
7 | 49, 259 |
7, 37 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67070/7
Therefore the LCM of Fractions 353/49,190/259 is 67070/7
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 259
List of positive integer factors of 259 that divides 259 without a remainder.
1,7,37,259
Greatest Common Factor
We found the factors 49,259 . The biggest common factor number is the GCF number.
So the greatest common factor 49,259 is 7.
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 353/49, 190/259?
Answer: LCM of Numerators as per given numbers 353/49, 190/259 is
LCM of Numerators i.e. for 353,190 is 67070
GCF of denominators i.e. for 49,259 is 7.
Thus, LCM of Fractions is 67070/7.Finally, LCM of Fractions for 353/49, 190/259 is 67070/7.