Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4026/97, 3090/561 quickly i.e. 2073390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4026/97, 3090/561 is 2073390.
LCM(4026/97, 3090/561) = 2073390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4026/97,3090/561
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 4026,3090
Least Common Multiple of Numerators i.e. LCM of 4026,3090 is 2073390.
GCF of Denominators means GCF of 97,561 as per the given fractions.
GCF of 97,561 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4026,3090
2 | 4026, 3090 |
3 | 2013, 1545 |
671, 515 |
∴ So the LCM of the given numbers is 2 x 3 x 671 x 515 = 2073390
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 4026,3090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4026,3090) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(4026,3090) x common factors =6 x 1 = 6
LCM(4026,3090) = ( 4026 × 3090 ) / 6
LCM(4026,3090) = 12440340 / 6
LCM(4026,3090) = 2073390
Lets's calculate GCF of 97,561
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2073390/1
Therefore the LCM of Fractions 4026/97,3090/561 is 2073390
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Greatest Common Factor
We found the factors 97,561 . The biggest common factor number is the GCF number.
So the greatest common factor 97,561 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 4026/97, 3090/561?
Answer: LCM of Numerators as per given numbers 4026/97, 3090/561 is
LCM of Numerators i.e. for 4026,3090 is 2073390
GCF of denominators i.e. for 97,561 is 1.
Thus, LCM of Fractions is 2073390.Finally, LCM of Fractions for 4026/97, 3090/561 is 2073390.