Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7453/83, 2729/166 quickly i.e. 20339237/83 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7453/83, 2729/166 is 20339237/83.
LCM(7453/83, 2729/166) = 20339237/83
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7453/83,2729/166
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 7453,2729
Least Common Multiple of Numerators i.e. LCM of 7453,2729 is 20339237.
GCF of Denominators means GCF of 83,166 as per the given fractions.
GCF of 83,166 is 83 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7453,2729
Given numbers has no common factors except 1. So, there LCM is their product i.e 20339237
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 7453,2729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7453,2729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7453,2729) x common factors =1 x 1 = 1
LCM(7453,2729) = ( 7453 × 2729 ) / 1
LCM(7453,2729) = 20339237 / 1
LCM(7453,2729) = 20339237
Lets's calculate GCF of 83,166
83 | 83, 166 |
1, 2 |
∴ So the GCF of the given numbers is 83 = 83
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20339237/83
Therefore the LCM of Fractions 7453/83,2729/166 is 20339237/83
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Greatest Common Factor
We found the factors 83,166 . The biggest common factor number is the GCF number.
So the greatest common factor 83,166 is 83.
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 7453/83, 2729/166?
Answer: LCM of Numerators as per given numbers 7453/83, 2729/166 is
LCM of Numerators i.e. for 7453,2729 is 20339237
GCF of denominators i.e. for 83,166 is 83.
Thus, LCM of Fractions is 20339237/83.Finally, LCM of Fractions for 7453/83, 2729/166 is 20339237/83.