Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 541/97, 472/9590 quickly i.e. 255352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 541/97, 472/9590 is 255352.
LCM(541/97, 472/9590) = 255352
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 541/97,472/9590
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 541,472
Least Common Multiple of Numerators i.e. LCM of 541,472 is 255352.
GCF of Denominators means GCF of 97,9590 as per the given fractions.
GCF of 97,9590 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 541,472
Given numbers has no common factors except 1. So, there LCM is their product i.e 255352
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 541,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,472) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,472) x common factors =1 x 1 = 1
LCM(541,472) = ( 541 × 472 ) / 1
LCM(541,472) = 255352 / 1
LCM(541,472) = 255352
Lets's calculate GCF of 97,9590
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255352/1
Therefore the LCM of Fractions 541/97,472/9590 is 255352
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 9590
List of positive integer factors of 9590 that divides 9590 without a remainder.
1,2,5,7,10,14,35,70,137,274,685,959,1370,1918,4795,9590
Greatest Common Factor
We found the factors 97,9590 . The biggest common factor number is the GCF number.
So the greatest common factor 97,9590 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 541/97, 472/9590?
Answer: LCM of Numerators as per given numbers 541/97, 472/9590 is
LCM of Numerators i.e. for 541,472 is 255352
GCF of denominators i.e. for 97,9590 is 1.
Thus, LCM of Fractions is 255352.Finally, LCM of Fractions for 541/97, 472/9590 is 255352.