Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/313, 87/892, 465/947 quickly i.e. 431520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/313, 87/892, 465/947 is 431520.
LCM(32/313, 87/892, 465/947) = 431520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/313,87/892,465/947
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 32,87,465
Least Common Multiple of Numerators i.e. LCM of 32,87,465 is 431520.
GCF of Denominators means GCF of 313,892,947 as per the given fractions.
GCF of 313,892,947 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,87,465
3 | 32, 87, 465 |
32, 29, 155 |
∴ So the LCM of the given numbers is 3 x 32 x 29 x 155 = 431520
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 32,87,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,87,465) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(32,87,465) x common factors =1 x 3 = 3
LCM(32,87,465) = ( 32 × 87 × 465 ) / 3
LCM(32,87,465) = 1294560 / 3
LCM(32,87,465) = 431520
Lets's calculate GCF of 313,892,947
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 431520/1
Therefore the LCM of Fractions 32/313,87/892,465/947 is 431520
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Greatest Common Factor
We found the factors 313,892,947 . The biggest common factor number is the GCF number.
So the greatest common factor 313,892,947 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 32/313, 87/892, 465/947?
Answer: LCM of Numerators as per given numbers 32/313, 87/892, 465/947 is
LCM of Numerators i.e. for 32,87,465 is 431520
GCF of denominators i.e. for 313,892,947 is 1.
Thus, LCM of Fractions is 431520.Finally, LCM of Fractions for 32/313, 87/892, 465/947 is 431520.