Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 607/882, 496/238 quickly i.e. 301072/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 607/882, 496/238 is 301072/14.
LCM(607/882, 496/238) = 301072/14
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 607/882,496/238
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 607,496
Least Common Multiple of Numerators i.e. LCM of 607,496 is 301072.
GCF of Denominators means GCF of 882,238 as per the given fractions.
GCF of 882,238 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 607,496
Given numbers has no common factors except 1. So, there LCM is their product i.e 301072
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 607,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,496) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,496) x common factors =1 x 1 = 1
LCM(607,496) = ( 607 × 496 ) / 1
LCM(607,496) = 301072 / 1
LCM(607,496) = 301072
Lets's calculate GCF of 882,238
2 | 882, 238 |
7 | 441, 119 |
63, 17 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 301072/14
Therefore the LCM of Fractions 607/882,496/238 is 301072/14
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Factors of 238
List of positive integer factors of 238 that divides 238 without a remainder.
1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 882,238 . The biggest common factor number is the GCF number.
So the greatest common factor 882,238 is 14.
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 607/882, 496/238?
Answer: LCM of Numerators as per given numbers 607/882, 496/238 is
LCM of Numerators i.e. for 607,496 is 301072
GCF of denominators i.e. for 882,238 is 14.
Thus, LCM of Fractions is 301072/14.Finally, LCM of Fractions for 607/882, 496/238 is 301072/14.