Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7715/423, 2705/7475 quickly i.e. 4173815 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7715/423, 2705/7475 is 4173815.
LCM(7715/423, 2705/7475) = 4173815
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7715/423,2705/7475
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 7715,2705
Least Common Multiple of Numerators i.e. LCM of 7715,2705 is 4173815.
GCF of Denominators means GCF of 423,7475 as per the given fractions.
GCF of 423,7475 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7715,2705
5 | 7715, 2705 |
1543, 541 |
∴ So the LCM of the given numbers is 5 x 1543 x 541 = 4173815
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 7715,2705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7715,2705) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(7715,2705) x common factors =5 x 1 = 5
LCM(7715,2705) = ( 7715 × 2705 ) / 5
LCM(7715,2705) = 20869075 / 5
LCM(7715,2705) = 4173815
Lets's calculate GCF of 423,7475
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4173815/1
Therefore the LCM of Fractions 7715/423,2705/7475 is 4173815
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 7475
List of positive integer factors of 7475 that divides 7475 without a remainder.
1,5,13,23,25,65,115,299,325,575,1495,7475
Greatest Common Factor
We found the factors 423,7475 . The biggest common factor number is the GCF number.
So the greatest common factor 423,7475 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 7715/423, 2705/7475?
Answer: LCM of Numerators as per given numbers 7715/423, 2705/7475 is
LCM of Numerators i.e. for 7715,2705 is 4173815
GCF of denominators i.e. for 423,7475 is 1.
Thus, LCM of Fractions is 4173815.Finally, LCM of Fractions for 7715/423, 2705/7475 is 4173815.