Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 451/90, 121/8743 quickly i.e. 4961 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 451/90, 121/8743 is 4961.
LCM(451/90, 121/8743) = 4961
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 451/90,121/8743
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 451,121
Least Common Multiple of Numerators i.e. LCM of 451,121 is 4961.
GCF of Denominators means GCF of 90,8743 as per the given fractions.
GCF of 90,8743 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 451,121
11 | 451, 121 |
41, 11 |
∴ So the LCM of the given numbers is 11 x 41 x 11 = 4961
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 451,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,121) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(451,121) x common factors =11 x 1 = 11
LCM(451,121) = ( 451 × 121 ) / 11
LCM(451,121) = 54571 / 11
LCM(451,121) = 4961
Lets's calculate GCF of 90,8743
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4961/1
Therefore the LCM of Fractions 451/90,121/8743 is 4961
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 8743
List of positive integer factors of 8743 that divides 8743 without a remainder.
1,7,1249,8743
Greatest Common Factor
We found the factors 90,8743 . The biggest common factor number is the GCF number.
So the greatest common factor 90,8743 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 451/90, 121/8743?
Answer: LCM of Numerators as per given numbers 451/90, 121/8743 is
LCM of Numerators i.e. for 451,121 is 4961
GCF of denominators i.e. for 90,8743 is 1.
Thus, LCM of Fractions is 4961.Finally, LCM of Fractions for 451/90, 121/8743 is 4961.