Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/58, 97/58, 327/396 quickly i.e. 1110165 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/58, 97/58, 327/396 is 1110165.
LCM(70/58, 97/58, 327/396) = 1110165
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/58,97/58,327/396
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 70,97,327
Least Common Multiple of Numerators i.e. LCM of 70,97,327 is 2220330.
GCF of Denominators means GCF of 58,58,396 as per the given fractions.
GCF of 58,58,396 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,97,327
Given numbers has no common factors except 1. So, there LCM is their product i.e 2220330
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 70,97,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,97,327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,97,327) x common factors =1 x 1 = 1
LCM(70,97,327) = ( 70 × 97 × 327 ) / 1
LCM(70,97,327) = 2220330 / 1
LCM(70,97,327) = 2220330
Lets's calculate GCF of 58,58,396
2 | 58, 58, 396 |
29, 29, 198 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2220330/2
Therefore the LCM of Fractions 70/58,97/58,327/396 is 1110165
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Greatest Common Factor
We found the factors 58,58,396 . The biggest common factor number is the GCF number.
So the greatest common factor 58,58,396 is 2.
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 70/58, 97/58, 327/396?
Answer: LCM of Numerators as per given numbers 70/58, 97/58, 327/396 is
LCM of Numerators i.e. for 70,97,327 is 2220330
GCF of denominators i.e. for 58,58,396 is 2.
Thus, LCM of Fractions is 1110165.Finally, LCM of Fractions for 70/58, 97/58, 327/396 is 1110165.