Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 375/265, 9878/9600 quickly i.e. 740850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 375/265, 9878/9600 is 740850.
LCM(375/265, 9878/9600) = 740850
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 375/265,9878/9600
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 375,9878
Least Common Multiple of Numerators i.e. LCM of 375,9878 is 3704250.
GCF of Denominators means GCF of 265,9600 as per the given fractions.
GCF of 265,9600 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 375,9878
Given numbers has no common factors except 1. So, there LCM is their product i.e 3704250
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 375,9878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,9878) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(375,9878) x common factors =1 x 1 = 1
LCM(375,9878) = ( 375 × 9878 ) / 1
LCM(375,9878) = 3704250 / 1
LCM(375,9878) = 3704250
Lets's calculate GCF of 265,9600
5 | 265, 9600 |
53, 1920 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3704250/5
Therefore the LCM of Fractions 375/265,9878/9600 is 740850
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 9600
List of positive integer factors of 9600 that divides 9600 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,128,150,160,192,200,240,300,320,384,400,480,600,640,800,960,1200,1600,1920,2400,3200,4800,9600
Greatest Common Factor
We found the factors 265,9600 . The biggest common factor number is the GCF number.
So the greatest common factor 265,9600 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 375/265, 9878/9600?
Answer: LCM of Numerators as per given numbers 375/265, 9878/9600 is
LCM of Numerators i.e. for 375,9878 is 3704250
GCF of denominators i.e. for 265,9600 is 5.
Thus, LCM of Fractions is 740850.Finally, LCM of Fractions for 375/265, 9878/9600 is 740850.