Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/455, 779/241, 953/302 quickly i.e. 26725932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/455, 779/241, 953/302 is 26725932.
LCM(36/455, 779/241, 953/302) = 26725932
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/455,779/241,953/302
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 36,779,953
Least Common Multiple of Numerators i.e. LCM of 36,779,953 is 26725932.
GCF of Denominators means GCF of 455,241,302 as per the given fractions.
GCF of 455,241,302 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,779,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 26725932
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 36,779,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,779,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(36,779,953) x common factors =1 x 1 = 1
LCM(36,779,953) = ( 36 × 779 × 953 ) / 1
LCM(36,779,953) = 26725932 / 1
LCM(36,779,953) = 26725932
Lets's calculate GCF of 455,241,302
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26725932/1
Therefore the LCM of Fractions 36/455,779/241,953/302 is 26725932
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Greatest Common Factor
We found the factors 455,241,302 . The biggest common factor number is the GCF number.
So the greatest common factor 455,241,302 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 36/455, 779/241, 953/302?
Answer: LCM of Numerators as per given numbers 36/455, 779/241, 953/302 is
LCM of Numerators i.e. for 36,779,953 is 26725932
GCF of denominators i.e. for 455,241,302 is 1.
Thus, LCM of Fractions is 26725932.Finally, LCM of Fractions for 36/455, 779/241, 953/302 is 26725932.