Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9328/304, 8480/954 quickly i.e. 46640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9328/304, 8480/954 is 46640.
LCM(9328/304, 8480/954) = 46640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9328/304,8480/954
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 9328,8480
Least Common Multiple of Numerators i.e. LCM of 9328,8480 is 93280.
GCF of Denominators means GCF of 304,954 as per the given fractions.
GCF of 304,954 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9328,8480
2 | 9328, 8480 |
2 | 4664, 4240 |
2 | 2332, 2120 |
2 | 1166, 1060 |
53 | 583, 530 |
11, 10 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 53 x 11 x 10 = 93280
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 9328,8480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9328,8480) = 848
common factors(in case of two or more numbers have common factors) = 1
GCF(9328,8480) x common factors =848 x 1 = 848
LCM(9328,8480) = ( 9328 × 8480 ) / 848
LCM(9328,8480) = 79101440 / 848
LCM(9328,8480) = 93280
Lets's calculate GCF of 304,954
2 | 304, 954 |
152, 477 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93280/2
Therefore the LCM of Fractions 9328/304,8480/954 is 46640
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Greatest Common Factor
We found the factors 304,954 . The biggest common factor number is the GCF number.
So the greatest common factor 304,954 is 2.
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 9328/304, 8480/954?
Answer: LCM of Numerators as per given numbers 9328/304, 8480/954 is
LCM of Numerators i.e. for 9328,8480 is 93280
GCF of denominators i.e. for 304,954 is 2.
Thus, LCM of Fractions is 46640.Finally, LCM of Fractions for 9328/304, 8480/954 is 46640.