Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 876/25, 290/4186 quickly i.e. 127020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 876/25, 290/4186 is 127020.
LCM(876/25, 290/4186) = 127020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 876/25,290/4186
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 876,290
Least Common Multiple of Numerators i.e. LCM of 876,290 is 127020.
GCF of Denominators means GCF of 25,4186 as per the given fractions.
GCF of 25,4186 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 876,290
2 | 876, 290 |
438, 145 |
∴ So the LCM of the given numbers is 2 x 438 x 145 = 127020
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 876,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,290) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(876,290) x common factors =2 x 1 = 2
LCM(876,290) = ( 876 × 290 ) / 2
LCM(876,290) = 254040 / 2
LCM(876,290) = 127020
Lets's calculate GCF of 25,4186
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127020/1
Therefore the LCM of Fractions 876/25,290/4186 is 127020
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 4186
List of positive integer factors of 4186 that divides 4186 without a remainder.
1,2,7,13,14,23,26,46,91,161,182,299,322,598,2093,4186
Greatest Common Factor
We found the factors 25,4186 . The biggest common factor number is the GCF number.
So the greatest common factor 25,4186 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 876/25, 290/4186?
Answer: LCM of Numerators as per given numbers 876/25, 290/4186 is
LCM of Numerators i.e. for 876,290 is 127020
GCF of denominators i.e. for 25,4186 is 1.
Thus, LCM of Fractions is 127020.Finally, LCM of Fractions for 876/25, 290/4186 is 127020.