Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/772, 73/371, 632/226 quickly i.e. 4475192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/772, 73/371, 632/226 is 4475192.
LCM(97/772, 73/371, 632/226) = 4475192
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/772,73/371,632/226
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 97,73,632
Least Common Multiple of Numerators i.e. LCM of 97,73,632 is 4475192.
GCF of Denominators means GCF of 772,371,226 as per the given fractions.
GCF of 772,371,226 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,73,632
Given numbers has no common factors except 1. So, there LCM is their product i.e 4475192
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 97,73,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,73,632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,73,632) x common factors =1 x 1 = 1
LCM(97,73,632) = ( 97 × 73 × 632 ) / 1
LCM(97,73,632) = 4475192 / 1
LCM(97,73,632) = 4475192
Lets's calculate GCF of 772,371,226
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4475192/1
Therefore the LCM of Fractions 97/772,73/371,632/226 is 4475192
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Greatest Common Factor
We found the factors 772,371,226 . The biggest common factor number is the GCF number.
So the greatest common factor 772,371,226 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 97/772, 73/371, 632/226?
Answer: LCM of Numerators as per given numbers 97/772, 73/371, 632/226 is
LCM of Numerators i.e. for 97,73,632 is 4475192
GCF of denominators i.e. for 772,371,226 is 1.
Thus, LCM of Fractions is 4475192.Finally, LCM of Fractions for 97/772, 73/371, 632/226 is 4475192.