Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 241/88, 835/46, 795/210 quickly i.e. 31996365/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 241/88, 835/46, 795/210 is 31996365/2.
LCM(241/88, 835/46, 795/210) = 31996365/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 241/88,835/46,795/210
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 241,835,795
Least Common Multiple of Numerators i.e. LCM of 241,835,795 is 31996365.
GCF of Denominators means GCF of 88,46,210 as per the given fractions.
GCF of 88,46,210 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 241,835,795
5 | 241, 835, 795 |
241, 167, 159 |
∴ So the LCM of the given numbers is 5 x 241 x 167 x 159 = 31996365
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 241,835,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,835,795) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(241,835,795) x common factors =1 x 5 = 5
LCM(241,835,795) = ( 241 × 835 × 795 ) / 5
LCM(241,835,795) = 159981825 / 5
LCM(241,835,795) = 31996365
Lets's calculate GCF of 88,46,210
2 | 88, 46, 210 |
44, 23, 105 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31996365/2
Therefore the LCM of Fractions 241/88,835/46,795/210 is 31996365/2
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 88,46,210 . The biggest common factor number is the GCF number.
So the greatest common factor 88,46,210 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 241/88, 835/46, 795/210?
Answer: LCM of Numerators as per given numbers 241/88, 835/46, 795/210 is
LCM of Numerators i.e. for 241,835,795 is 31996365
GCF of denominators i.e. for 88,46,210 is 2.
Thus, LCM of Fractions is 31996365/2.Finally, LCM of Fractions for 241/88, 835/46, 795/210 is 31996365/2.