Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/58, 29/94, 19/97, 59/905 quickly i.e. 3153373 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/58, 29/94, 19/97, 59/905 is 3153373.
LCM(97/58, 29/94, 19/97, 59/905) = 3153373
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/58,29/94,19/97,59/905
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 97,29,19,59
Least Common Multiple of Numerators i.e. LCM of 97,29,19,59 is 3153373.
GCF of Denominators means GCF of 58,94,97,905 as per the given fractions.
GCF of 58,94,97,905 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,29,19,59
Given numbers has no common factors except 1. So, there LCM is their product i.e 3153373
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 97,29,19,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,29,19,59) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,29,19,59) x common factors =1 x 1 = 1
LCM(97,29,19,59) = ( 97 × 29 × 19 × 59 ) / 1
LCM(97,29,19,59) = 3153373 / 1
LCM(97,29,19,59) = 3153373
Lets's calculate GCF of 58,94,97,905
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3153373/1
Therefore the LCM of Fractions 97/58,29/94,19/97,59/905 is 3153373
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1,5,181,905
Greatest Common Factor
We found the factors 58,94,97,905 . The biggest common factor number is the GCF number.
So the greatest common factor 58,94,97,905 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 97/58, 29/94, 19/97, 59/905?
Answer: LCM of Numerators as per given numbers 97/58, 29/94, 19/97, 59/905 is
LCM of Numerators i.e. for 97,29,19,59 is 3153373
GCF of denominators i.e. for 58,94,97,905 is 1.
Thus, LCM of Fractions is 3153373.Finally, LCM of Fractions for 97/58, 29/94, 19/97, 59/905 is 3153373.