Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3891/473, 8352/360 quickly i.e. 10832544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3891/473, 8352/360 is 10832544.
LCM(3891/473, 8352/360) = 10832544
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3891/473,8352/360
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 3891,8352
Least Common Multiple of Numerators i.e. LCM of 3891,8352 is 10832544.
GCF of Denominators means GCF of 473,360 as per the given fractions.
GCF of 473,360 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3891,8352
3 | 3891, 8352 |
1297, 2784 |
∴ So the LCM of the given numbers is 3 x 1297 x 2784 = 10832544
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 3891,8352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3891,8352) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(3891,8352) x common factors =3 x 1 = 3
LCM(3891,8352) = ( 3891 × 8352 ) / 3
LCM(3891,8352) = 32497632 / 3
LCM(3891,8352) = 10832544
Lets's calculate GCF of 473,360
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10832544/1
Therefore the LCM of Fractions 3891/473,8352/360 is 10832544
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 473,360 . The biggest common factor number is the GCF number.
So the greatest common factor 473,360 is 1.
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 3891/473, 8352/360?
Answer: LCM of Numerators as per given numbers 3891/473, 8352/360 is
LCM of Numerators i.e. for 3891,8352 is 10832544
GCF of denominators i.e. for 473,360 is 1.
Thus, LCM of Fractions is 10832544.Finally, LCM of Fractions for 3891/473, 8352/360 is 10832544.