Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/97, 336/10, 525/440 quickly i.e. 8400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/97, 336/10, 525/440 is 8400.
LCM(14/97, 336/10, 525/440) = 8400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/97,336/10,525/440
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 14,336,525
Least Common Multiple of Numerators i.e. LCM of 14,336,525 is 8400.
GCF of Denominators means GCF of 97,10,440 as per the given fractions.
GCF of 97,10,440 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,336,525
2 | 14, 336, 525 |
3 | 7, 168, 525 |
7 | 7, 56, 175 |
1, 8, 25 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 8 x 25 = 8400
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 14,336,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,336,525) = 7
common factors(in case of two or more numbers have common factors) = 42
GCF(14,336,525) x common factors =7 x 42 = 294
LCM(14,336,525) = ( 14 × 336 × 525 ) / 294
LCM(14,336,525) = 2469600 / 294
LCM(14,336,525) = 8400
Lets's calculate GCF of 97,10,440
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8400/1
Therefore the LCM of Fractions 14/97,336/10,525/440 is 8400
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Greatest Common Factor
We found the factors 97,10,440 . The biggest common factor number is the GCF number.
So the greatest common factor 97,10,440 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 14/97, 336/10, 525/440?
Answer: LCM of Numerators as per given numbers 14/97, 336/10, 525/440 is
LCM of Numerators i.e. for 14,336,525 is 8400
GCF of denominators i.e. for 97,10,440 is 1.
Thus, LCM of Fractions is 8400.Finally, LCM of Fractions for 14/97, 336/10, 525/440 is 8400.