Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4118/532, 8640/8160 quickly i.e. 4447440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4118/532, 8640/8160 is 4447440.
LCM(4118/532, 8640/8160) = 4447440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4118/532,8640/8160
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 4118,8640
Least Common Multiple of Numerators i.e. LCM of 4118,8640 is 17789760.
GCF of Denominators means GCF of 532,8160 as per the given fractions.
GCF of 532,8160 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4118,8640
2 | 4118, 8640 |
2059, 4320 |
∴ So the LCM of the given numbers is 2 x 2059 x 4320 = 17789760
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 4118,8640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4118,8640) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4118,8640) x common factors =2 x 1 = 2
LCM(4118,8640) = ( 4118 × 8640 ) / 2
LCM(4118,8640) = 35579520 / 2
LCM(4118,8640) = 17789760
Lets's calculate GCF of 532,8160
2 | 532, 8160 |
2 | 266, 4080 |
133, 2040 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17789760/4
Therefore the LCM of Fractions 4118/532,8640/8160 is 4447440
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Factors of 8160
List of positive integer factors of 8160 that divides 8160 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,32,34,40,48,51,60,68,80,85,96,102,120,136,160,170,204,240,255,272,340,408,480,510,544,680,816,1020,1360,1632,2040,2720,4080,8160
Greatest Common Factor
We found the factors 532,8160 . The biggest common factor number is the GCF number.
So the greatest common factor 532,8160 is 4.
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 4118/532, 8640/8160?
Answer: LCM of Numerators as per given numbers 4118/532, 8640/8160 is
LCM of Numerators i.e. for 4118,8640 is 17789760
GCF of denominators i.e. for 532,8160 is 4.
Thus, LCM of Fractions is 4447440.Finally, LCM of Fractions for 4118/532, 8640/8160 is 4447440.