Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/97, 530/47, 342/297 quickly i.e. 3353310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/97, 530/47, 342/297 is 3353310.
LCM(74/97, 530/47, 342/297) = 3353310
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/97,530/47,342/297
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 74,530,342
Least Common Multiple of Numerators i.e. LCM of 74,530,342 is 3353310.
GCF of Denominators means GCF of 97,47,297 as per the given fractions.
GCF of 97,47,297 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,530,342
2 | 74, 530, 342 |
37, 265, 171 |
∴ So the LCM of the given numbers is 2 x 37 x 265 x 171 = 3353310
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 74,530,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,530,342) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(74,530,342) x common factors =2 x 2 = 4
LCM(74,530,342) = ( 74 × 530 × 342 ) / 4
LCM(74,530,342) = 13413240 / 4
LCM(74,530,342) = 3353310
Lets's calculate GCF of 97,47,297
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3353310/1
Therefore the LCM of Fractions 74/97,530/47,342/297 is 3353310
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
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 97,47,297 . The biggest common factor number is the GCF number.
So the greatest common factor 97,47,297 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 74/97, 530/47, 342/297?
Answer: LCM of Numerators as per given numbers 74/97, 530/47, 342/297 is
LCM of Numerators i.e. for 74,530,342 is 3353310
GCF of denominators i.e. for 97,47,297 is 1.
Thus, LCM of Fractions is 3353310.Finally, LCM of Fractions for 74/97, 530/47, 342/297 is 3353310.