Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/832, 107/439, 967/315 quickly i.e. 3311008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/832, 107/439, 967/315 is 3311008.
LCM(32/832, 107/439, 967/315) = 3311008
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/832,107/439,967/315
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 32,107,967
Least Common Multiple of Numerators i.e. LCM of 32,107,967 is 3311008.
GCF of Denominators means GCF of 832,439,315 as per the given fractions.
GCF of 832,439,315 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,107,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 3311008
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 32,107,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,107,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,107,967) x common factors =1 x 1 = 1
LCM(32,107,967) = ( 32 × 107 × 967 ) / 1
LCM(32,107,967) = 3311008 / 1
LCM(32,107,967) = 3311008
Lets's calculate GCF of 832,439,315
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3311008/1
Therefore the LCM of Fractions 32/832,107/439,967/315 is 3311008
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Greatest Common Factor
We found the factors 832,439,315 . The biggest common factor number is the GCF number.
So the greatest common factor 832,439,315 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 32/832, 107/439, 967/315?
Answer: LCM of Numerators as per given numbers 32/832, 107/439, 967/315 is
LCM of Numerators i.e. for 32,107,967 is 3311008
GCF of denominators i.e. for 832,439,315 is 1.
Thus, LCM of Fractions is 3311008.Finally, LCM of Fractions for 32/832, 107/439, 967/315 is 3311008.