Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/623, 2765/4120 quickly i.e. 2765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/623, 2765/4120 is 2765.
LCM(79/623, 2765/4120) = 2765
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/623,2765/4120
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 79,2765
Least Common Multiple of Numerators i.e. LCM of 79,2765 is 2765.
GCF of Denominators means GCF of 623,4120 as per the given fractions.
GCF of 623,4120 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,2765
79 | 79, 2765 |
1, 35 |
∴ So the LCM of the given numbers is 79 x 1 x 35 = 2765
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 79,2765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,2765) = 79
common factors(in case of two or more numbers have common factors) = 1
GCF(79,2765) x common factors =79 x 1 = 79
LCM(79,2765) = ( 79 × 2765 ) / 79
LCM(79,2765) = 218435 / 79
LCM(79,2765) = 2765
Lets's calculate GCF of 623,4120
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2765/1
Therefore the LCM of Fractions 79/623,2765/4120 is 2765
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Factors of 4120
List of positive integer factors of 4120 that divides 4120 without a remainder.
1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120
Greatest Common Factor
We found the factors 623,4120 . The biggest common factor number is the GCF number.
So the greatest common factor 623,4120 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 79/623, 2765/4120?
Answer: LCM of Numerators as per given numbers 79/623, 2765/4120 is
LCM of Numerators i.e. for 79,2765 is 2765
GCF of denominators i.e. for 623,4120 is 1.
Thus, LCM of Fractions is 2765.Finally, LCM of Fractions for 79/623, 2765/4120 is 2765.