Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/895, 57/365, 94/742 quickly i.e. 26790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/895, 57/365, 94/742 is 26790.
LCM(5/895, 57/365, 94/742) = 26790
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/895,57/365,94/742
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 5,57,94
Least Common Multiple of Numerators i.e. LCM of 5,57,94 is 26790.
GCF of Denominators means GCF of 895,365,742 as per the given fractions.
GCF of 895,365,742 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,57,94
Given numbers has no common factors except 1. So, there LCM is their product i.e 26790
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 5,57,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,57,94) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5,57,94) x common factors =1 x 1 = 1
LCM(5,57,94) = ( 5 × 57 × 94 ) / 1
LCM(5,57,94) = 26790 / 1
LCM(5,57,94) = 26790
Lets's calculate GCF of 895,365,742
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26790/1
Therefore the LCM of Fractions 5/895,57/365,94/742 is 26790
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1,5,179,895
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 895,365,742 . The biggest common factor number is the GCF number.
So the greatest common factor 895,365,742 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 5/895, 57/365, 94/742?
Answer: LCM of Numerators as per given numbers 5/895, 57/365, 94/742 is
LCM of Numerators i.e. for 5,57,94 is 26790
GCF of denominators i.e. for 895,365,742 is 1.
Thus, LCM of Fractions is 26790.Finally, LCM of Fractions for 5/895, 57/365, 94/742 is 26790.