Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/121, 5429/9028 quickly i.e. 244305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/121, 5429/9028 is 244305.
LCM(45/121, 5429/9028) = 244305
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/121,5429/9028
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 45,5429
Least Common Multiple of Numerators i.e. LCM of 45,5429 is 244305.
GCF of Denominators means GCF of 121,9028 as per the given fractions.
GCF of 121,9028 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,5429
Given numbers has no common factors except 1. So, there LCM is their product i.e 244305
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 45,5429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,5429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,5429) x common factors =1 x 1 = 1
LCM(45,5429) = ( 45 × 5429 ) / 1
LCM(45,5429) = 244305 / 1
LCM(45,5429) = 244305
Lets's calculate GCF of 121,9028
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 244305/1
Therefore the LCM of Fractions 45/121,5429/9028 is 244305
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Factors of 9028
List of positive integer factors of 9028 that divides 9028 without a remainder.
1,2,4,37,61,74,122,148,244,2257,4514,9028
Greatest Common Factor
We found the factors 121,9028 . The biggest common factor number is the GCF number.
So the greatest common factor 121,9028 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 45/121, 5429/9028?
Answer: LCM of Numerators as per given numbers 45/121, 5429/9028 is
LCM of Numerators i.e. for 45,5429 is 244305
GCF of denominators i.e. for 121,9028 is 1.
Thus, LCM of Fractions is 244305.Finally, LCM of Fractions for 45/121, 5429/9028 is 244305.