Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/885, 1312/4230 quickly i.e. 6560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/885, 1312/4230 is 6560.
LCM(75/885, 1312/4230) = 6560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/885,1312/4230
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 75,1312
Least Common Multiple of Numerators i.e. LCM of 75,1312 is 98400.
GCF of Denominators means GCF of 885,4230 as per the given fractions.
GCF of 885,4230 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,1312
Given numbers has no common factors except 1. So, there LCM is their product i.e 98400
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 75,1312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,1312) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,1312) x common factors =1 x 1 = 1
LCM(75,1312) = ( 75 × 1312 ) / 1
LCM(75,1312) = 98400 / 1
LCM(75,1312) = 98400
Lets's calculate GCF of 885,4230
3 | 885, 4230 |
5 | 295, 1410 |
59, 282 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98400/15
Therefore the LCM of Fractions 75/885,1312/4230 is 6560
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 4230
List of positive integer factors of 4230 that divides 4230 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,47,90,94,141,235,282,423,470,705,846,1410,2115,4230
Greatest Common Factor
We found the factors 885,4230 . The biggest common factor number is the GCF number.
So the greatest common factor 885,4230 is 15.
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 75/885, 1312/4230?
Answer: LCM of Numerators as per given numbers 75/885, 1312/4230 is
LCM of Numerators i.e. for 75,1312 is 98400
GCF of denominators i.e. for 885,4230 is 15.
Thus, LCM of Fractions is 6560.Finally, LCM of Fractions for 75/885, 1312/4230 is 6560.