Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/365, 95/904, 539/353 quickly i.e. 102410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/365, 95/904, 539/353 is 102410.
LCM(70/365, 95/904, 539/353) = 102410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/365,95/904,539/353
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 70,95,539
Least Common Multiple of Numerators i.e. LCM of 70,95,539 is 102410.
GCF of Denominators means GCF of 365,904,353 as per the given fractions.
GCF of 365,904,353 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,95,539
5 | 70, 95, 539 |
7 | 14, 19, 539 |
2, 19, 77 |
∴ So the LCM of the given numbers is 5 x 7 x 2 x 19 x 77 = 102410
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 70,95,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,95,539) = 1
common factors(in case of two or more numbers have common factors) = 35
GCF(70,95,539) x common factors =1 x 35 = 35
LCM(70,95,539) = ( 70 × 95 × 539 ) / 35
LCM(70,95,539) = 3584350 / 35
LCM(70,95,539) = 102410
Lets's calculate GCF of 365,904,353
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102410/1
Therefore the LCM of Fractions 70/365,95/904,539/353 is 102410
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Factors of 353
List of positive integer factors of 353 that divides 353 without a remainder.
1,353
Greatest Common Factor
We found the factors 365,904,353 . The biggest common factor number is the GCF number.
So the greatest common factor 365,904,353 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 70/365, 95/904, 539/353?
Answer: LCM of Numerators as per given numbers 70/365, 95/904, 539/353 is
LCM of Numerators i.e. for 70,95,539 is 102410
GCF of denominators i.e. for 365,904,353 is 1.
Thus, LCM of Fractions is 102410.Finally, LCM of Fractions for 70/365, 95/904, 539/353 is 102410.