Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 895/376, 808/498, 815/259 quickly i.e. 117875080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 895/376, 808/498, 815/259 is 117875080.
LCM(895/376, 808/498, 815/259) = 117875080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 895/376,808/498,815/259
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 895,808,815
Least Common Multiple of Numerators i.e. LCM of 895,808,815 is 117875080.
GCF of Denominators means GCF of 376,498,259 as per the given fractions.
GCF of 376,498,259 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 895,808,815
5 | 895, 808, 815 |
179, 808, 163 |
∴ So the LCM of the given numbers is 5 x 179 x 808 x 163 = 117875080
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 895,808,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,808,815) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(895,808,815) x common factors =1 x 5 = 5
LCM(895,808,815) = ( 895 × 808 × 815 ) / 5
LCM(895,808,815) = 589375400 / 5
LCM(895,808,815) = 117875080
Lets's calculate GCF of 376,498,259
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117875080/1
Therefore the LCM of Fractions 895/376,808/498,815/259 is 117875080
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
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 376,498,259 . The biggest common factor number is the GCF number.
So the greatest common factor 376,498,259 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 895/376, 808/498, 815/259?
Answer: LCM of Numerators as per given numbers 895/376, 808/498, 815/259 is
LCM of Numerators i.e. for 895,808,815 is 117875080
GCF of denominators i.e. for 376,498,259 is 1.
Thus, LCM of Fractions is 117875080.Finally, LCM of Fractions for 895/376, 808/498, 815/259 is 117875080.