Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 544/922, 7494/445 quickly i.e. 2038368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 544/922, 7494/445 is 2038368.
LCM(544/922, 7494/445) = 2038368
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 544/922,7494/445
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 544,7494
Least Common Multiple of Numerators i.e. LCM of 544,7494 is 2038368.
GCF of Denominators means GCF of 922,445 as per the given fractions.
GCF of 922,445 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 544,7494
2 | 544, 7494 |
272, 3747 |
∴ So the LCM of the given numbers is 2 x 272 x 3747 = 2038368
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 544,7494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,7494) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(544,7494) x common factors =2 x 1 = 2
LCM(544,7494) = ( 544 × 7494 ) / 2
LCM(544,7494) = 4076736 / 2
LCM(544,7494) = 2038368
Lets's calculate GCF of 922,445
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2038368/1
Therefore the LCM of Fractions 544/922,7494/445 is 2038368
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Greatest Common Factor
We found the factors 922,445 . The biggest common factor number is the GCF number.
So the greatest common factor 922,445 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 544/922, 7494/445?
Answer: LCM of Numerators as per given numbers 544/922, 7494/445 is
LCM of Numerators i.e. for 544,7494 is 2038368
GCF of denominators i.e. for 922,445 is 1.
Thus, LCM of Fractions is 2038368.Finally, LCM of Fractions for 544/922, 7494/445 is 2038368.