Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/205, 79/455 quickly i.e. 6004/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/205, 79/455 is 6004/5.
LCM(76/205, 79/455) = 6004/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/205,79/455
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 76,79
Least Common Multiple of Numerators i.e. LCM of 76,79 is 6004.
GCF of Denominators means GCF of 205,455 as per the given fractions.
GCF of 205,455 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,79
Given numbers has no common factors except 1. So, there LCM is their product i.e 6004
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 76,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,79) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,79) x common factors =1 x 1 = 1
LCM(76,79) = ( 76 × 79 ) / 1
LCM(76,79) = 6004 / 1
LCM(76,79) = 6004
Lets's calculate GCF of 205,455
5 | 205, 455 |
41, 91 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6004/5
Therefore the LCM of Fractions 76/205,79/455 is 6004/5
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Greatest Common Factor
We found the factors 205,455 . The biggest common factor number is the GCF number.
So the greatest common factor 205,455 is 5.
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 76/205, 79/455?
Answer: LCM of Numerators as per given numbers 76/205, 79/455 is
LCM of Numerators i.e. for 76,79 is 6004
GCF of denominators i.e. for 205,455 is 5.
Thus, LCM of Fractions is 6004/5.Finally, LCM of Fractions for 76/205, 79/455 is 6004/5.