Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/147, 715/64, 224/325 quickly i.e. 15535520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/147, 715/64, 224/325 is 15535520.
LCM(97/147, 715/64, 224/325) = 15535520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/147,715/64,224/325
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 97,715,224
Least Common Multiple of Numerators i.e. LCM of 97,715,224 is 15535520.
GCF of Denominators means GCF of 147,64,325 as per the given fractions.
GCF of 147,64,325 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,715,224
Given numbers has no common factors except 1. So, there LCM is their product i.e 15535520
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 97,715,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,715,224) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,715,224) x common factors =1 x 1 = 1
LCM(97,715,224) = ( 97 × 715 × 224 ) / 1
LCM(97,715,224) = 15535520 / 1
LCM(97,715,224) = 15535520
Lets's calculate GCF of 147,64,325
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15535520/1
Therefore the LCM of Fractions 97/147,715/64,224/325 is 15535520
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Greatest Common Factor
We found the factors 147,64,325 . The biggest common factor number is the GCF number.
So the greatest common factor 147,64,325 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 97/147, 715/64, 224/325?
Answer: LCM of Numerators as per given numbers 97/147, 715/64, 224/325 is
LCM of Numerators i.e. for 97,715,224 is 15535520
GCF of denominators i.e. for 147,64,325 is 1.
Thus, LCM of Fractions is 15535520.Finally, LCM of Fractions for 97/147, 715/64, 224/325 is 15535520.