Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9248/935, 4860/740 quickly i.e. 2247264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9248/935, 4860/740 is 2247264.
LCM(9248/935, 4860/740) = 2247264
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9248/935,4860/740
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 9248,4860
Least Common Multiple of Numerators i.e. LCM of 9248,4860 is 11236320.
GCF of Denominators means GCF of 935,740 as per the given fractions.
GCF of 935,740 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9248,4860
2 | 9248, 4860 |
2 | 4624, 2430 |
2312, 1215 |
∴ So the LCM of the given numbers is 2 x 2 x 2312 x 1215 = 11236320
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 9248,4860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9248,4860) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(9248,4860) x common factors =4 x 1 = 4
LCM(9248,4860) = ( 9248 × 4860 ) / 4
LCM(9248,4860) = 44945280 / 4
LCM(9248,4860) = 11236320
Lets's calculate GCF of 935,740
5 | 935, 740 |
187, 148 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11236320/5
Therefore the LCM of Fractions 9248/935,4860/740 is 2247264
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 935,740 . The biggest common factor number is the GCF number.
So the greatest common factor 935,740 is 5.
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 9248/935, 4860/740?
Answer: LCM of Numerators as per given numbers 9248/935, 4860/740 is
LCM of Numerators i.e. for 9248,4860 is 11236320
GCF of denominators i.e. for 935,740 is 5.
Thus, LCM of Fractions is 2247264.Finally, LCM of Fractions for 9248/935, 4860/740 is 2247264.