Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/74, 373/23, 389/545 quickly i.e. 3192134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/74, 373/23, 389/545 is 3192134.
LCM(22/74, 373/23, 389/545) = 3192134
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/74,373/23,389/545
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 22,373,389
Least Common Multiple of Numerators i.e. LCM of 22,373,389 is 3192134.
GCF of Denominators means GCF of 74,23,545 as per the given fractions.
GCF of 74,23,545 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,373,389
Given numbers has no common factors except 1. So, there LCM is their product i.e 3192134
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 22,373,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,373,389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,373,389) x common factors =1 x 1 = 1
LCM(22,373,389) = ( 22 × 373 × 389 ) / 1
LCM(22,373,389) = 3192134 / 1
LCM(22,373,389) = 3192134
Lets's calculate GCF of 74,23,545
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3192134/1
Therefore the LCM of Fractions 22/74,373/23,389/545 is 3192134
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Greatest Common Factor
We found the factors 74,23,545 . The biggest common factor number is the GCF number.
So the greatest common factor 74,23,545 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 22/74, 373/23, 389/545?
Answer: LCM of Numerators as per given numbers 22/74, 373/23, 389/545 is
LCM of Numerators i.e. for 22,373,389 is 3192134
GCF of denominators i.e. for 74,23,545 is 1.
Thus, LCM of Fractions is 3192134.Finally, LCM of Fractions for 22/74, 373/23, 389/545 is 3192134.