Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 325/120, 767/639, 749/297 quickly i.e. 14362075/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 325/120, 767/639, 749/297 is 14362075/3.
LCM(325/120, 767/639, 749/297) = 14362075/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 325/120,767/639,749/297
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 325,767,749
Least Common Multiple of Numerators i.e. LCM of 325,767,749 is 14362075.
GCF of Denominators means GCF of 120,639,297 as per the given fractions.
GCF of 120,639,297 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 325,767,749
13 | 325, 767, 749 |
25, 59, 749 |
∴ So the LCM of the given numbers is 13 x 25 x 59 x 749 = 14362075
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 325,767,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,767,749) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(325,767,749) x common factors =1 x 13 = 13
LCM(325,767,749) = ( 325 × 767 × 749 ) / 13
LCM(325,767,749) = 186706975 / 13
LCM(325,767,749) = 14362075
Lets's calculate GCF of 120,639,297
3 | 120, 639, 297 |
40, 213, 99 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14362075/3
Therefore the LCM of Fractions 325/120,767/639,749/297 is 14362075/3
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Greatest Common Factor
We found the factors 120,639,297 . The biggest common factor number is the GCF number.
So the greatest common factor 120,639,297 is 3.
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 325/120, 767/639, 749/297?
Answer: LCM of Numerators as per given numbers 325/120, 767/639, 749/297 is
LCM of Numerators i.e. for 325,767,749 is 14362075
GCF of denominators i.e. for 120,639,297 is 3.
Thus, LCM of Fractions is 14362075/3.Finally, LCM of Fractions for 325/120, 767/639, 749/297 is 14362075/3.