Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5923/765, 2346/5700 quickly i.e. 13895358/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5923/765, 2346/5700 is 13895358/15.
LCM(5923/765, 2346/5700) = 13895358/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5923/765,2346/5700
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 5923,2346
Least Common Multiple of Numerators i.e. LCM of 5923,2346 is 13895358.
GCF of Denominators means GCF of 765,5700 as per the given fractions.
GCF of 765,5700 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5923,2346
Given numbers has no common factors except 1. So, there LCM is their product i.e 13895358
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 5923,2346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5923,2346) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5923,2346) x common factors =1 x 1 = 1
LCM(5923,2346) = ( 5923 × 2346 ) / 1
LCM(5923,2346) = 13895358 / 1
LCM(5923,2346) = 13895358
Lets's calculate GCF of 765,5700
3 | 765, 5700 |
5 | 255, 1900 |
51, 380 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13895358/15
Therefore the LCM of Fractions 5923/765,2346/5700 is 13895358/15
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 5700
List of positive integer factors of 5700 that divides 5700 without a remainder.
1,2,3,4,5,6,10,12,15,19,20,25,30,38,50,57,60,75,76,95,100,114,150,190,228,285,300,380,475,570,950,1140,1425,1900,2850,5700
Greatest Common Factor
We found the factors 765,5700 . The biggest common factor number is the GCF number.
So the greatest common factor 765,5700 is 15.
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 5923/765, 2346/5700?
Answer: LCM of Numerators as per given numbers 5923/765, 2346/5700 is
LCM of Numerators i.e. for 5923,2346 is 13895358
GCF of denominators i.e. for 765,5700 is 15.
Thus, LCM of Fractions is 13895358/15.Finally, LCM of Fractions for 5923/765, 2346/5700 is 13895358/15.