Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2053/149, 9294/100 quickly i.e. 19080582 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2053/149, 9294/100 is 19080582.
LCM(2053/149, 9294/100) = 19080582
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2053/149,9294/100
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 2053,9294
Least Common Multiple of Numerators i.e. LCM of 2053,9294 is 19080582.
GCF of Denominators means GCF of 149,100 as per the given fractions.
GCF of 149,100 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2053,9294
Given numbers has no common factors except 1. So, there LCM is their product i.e 19080582
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 2053,9294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2053,9294) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2053,9294) x common factors =1 x 1 = 1
LCM(2053,9294) = ( 2053 × 9294 ) / 1
LCM(2053,9294) = 19080582 / 1
LCM(2053,9294) = 19080582
Lets's calculate GCF of 149,100
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19080582/1
Therefore the LCM of Fractions 2053/149,9294/100 is 19080582
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Greatest Common Factor
We found the factors 149,100 . The biggest common factor number is the GCF number.
So the greatest common factor 149,100 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 2053/149, 9294/100?
Answer: LCM of Numerators as per given numbers 2053/149, 9294/100 is
LCM of Numerators i.e. for 2053,9294 is 19080582
GCF of denominators i.e. for 149,100 is 1.
Thus, LCM of Fractions is 19080582.Finally, LCM of Fractions for 2053/149, 9294/100 is 19080582.