Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2423/786, 5470/3668 quickly i.e. 13253810/262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2423/786, 5470/3668 is 13253810/262.
LCM(2423/786, 5470/3668) = 13253810/262
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2423/786,5470/3668
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 2423,5470
Least Common Multiple of Numerators i.e. LCM of 2423,5470 is 13253810.
GCF of Denominators means GCF of 786,3668 as per the given fractions.
GCF of 786,3668 is 262 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2423,5470
Given numbers has no common factors except 1. So, there LCM is their product i.e 13253810
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 2423,5470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2423,5470) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2423,5470) x common factors =1 x 1 = 1
LCM(2423,5470) = ( 2423 × 5470 ) / 1
LCM(2423,5470) = 13253810 / 1
LCM(2423,5470) = 13253810
Lets's calculate GCF of 786,3668
2 | 786, 3668 |
131 | 393, 1834 |
3, 14 |
∴ So the GCF of the given numbers is 2 x 131 = 262
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13253810/262
Therefore the LCM of Fractions 2423/786,5470/3668 is 13253810/262
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Factors of 3668
List of positive integer factors of 3668 that divides 3668 without a remainder.
1,2,4,7,14,28,131,262,524,917,1834,3668
Greatest Common Factor
We found the factors 786,3668 . The biggest common factor number is the GCF number.
So the greatest common factor 786,3668 is 262.
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 2423/786, 5470/3668?
Answer: LCM of Numerators as per given numbers 2423/786, 5470/3668 is
LCM of Numerators i.e. for 2423,5470 is 13253810
GCF of denominators i.e. for 786,3668 is 262.
Thus, LCM of Fractions is 13253810/262.Finally, LCM of Fractions for 2423/786, 5470/3668 is 13253810/262.