Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7467/232, 6905/5456 quickly i.e. 51559635/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7467/232, 6905/5456 is 51559635/8.
LCM(7467/232, 6905/5456) = 51559635/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7467/232,6905/5456
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 7467,6905
Least Common Multiple of Numerators i.e. LCM of 7467,6905 is 51559635.
GCF of Denominators means GCF of 232,5456 as per the given fractions.
GCF of 232,5456 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7467,6905
Given numbers has no common factors except 1. So, there LCM is their product i.e 51559635
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 7467,6905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7467,6905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7467,6905) x common factors =1 x 1 = 1
LCM(7467,6905) = ( 7467 × 6905 ) / 1
LCM(7467,6905) = 51559635 / 1
LCM(7467,6905) = 51559635
Lets's calculate GCF of 232,5456
2 | 232, 5456 |
2 | 116, 2728 |
2 | 58, 1364 |
29, 682 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51559635/8
Therefore the LCM of Fractions 7467/232,6905/5456 is 51559635/8
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Factors of 5456
List of positive integer factors of 5456 that divides 5456 without a remainder.
1,2,4,8,11,16,22,31,44,62,88,124,176,248,341,496,682,1364,2728,5456
Greatest Common Factor
We found the factors 232,5456 . The biggest common factor number is the GCF number.
So the greatest common factor 232,5456 is 8.
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 7467/232, 6905/5456?
Answer: LCM of Numerators as per given numbers 7467/232, 6905/5456 is
LCM of Numerators i.e. for 7467,6905 is 51559635
GCF of denominators i.e. for 232,5456 is 8.
Thus, LCM of Fractions is 51559635/8.Finally, LCM of Fractions for 7467/232, 6905/5456 is 51559635/8.