It is easy to find the LCM of 7044 and 7050 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 8276700 as output. Here you can check the answer for Find the LCM of 7044 and 7050.
Given Numbers are 7044, 7050
We can find the LCM of 7044, 7050 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 7044 and 7050
Multiples of 7044 =7044,14088,21132,28176,35220,42264,49308,56352,63396,70440,77484,84528,91572,98616,105660,112704,119748,
Multiples of 7050 =7050,14100,21150,28200,35250,42300,49350,56400,63450,70500,77550,84600,91650,98700,105750,112800,119850,
Now, get the least common multiple of 7044, 7050 which is 8276700
So, the LCM of 7044, 7050 is 8276700.
One method for determining the LCM of 7044 and 7050 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:
Here is 7044's prime factorization:2 | 7044 |
2 | 3522 |
3 | 1761 |
587 | 587 |
1 |
Prime factors of 7044 are 2, 3,587.
7044 = 22×31×5871
And this is 7050's prime factorization:
2 | 7050 |
3 | 3525 |
5 | 1175 |
5 | 235 |
47 | 47 |
1 |
Prime factors of 7050 are 2, 3, 5,47.
7050 = 21×31×52×471
When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2, 3,587, 5,47
.22×31×52×471×5871 = 8276700
This shows that the LCM of 7044 and 7050 is 8276700.
The first step in determining the Least Common Multiple of 7044 and 7050 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 7044 and 7050:
Lets look at the first ten multiples of these numbers, 7044 and 7050:
7044,14088,21132,28176,35220,42264,49308,56352,63396,119748 are the first ten multiples of 7044.
7050,14100,21150,28200,35250,42300,49350,56400,63450,119850 are the first ten multiples of 7050.
You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 7044 and 7050, for example, are 84528, 119748, and 112800. 8276700 is the least common multiple since it is the smallest.
7044 and 7050 have an LCM of 8276700.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7044 and 7050, than apply into the LCM equation.
GCF(7044,7050) = 6
LCM(7044,7050) = ( 7044 × 7050) / 6
LCM(7044,7050) = 49660200 / 6
LCM(7044,7050) = 8276700
1. What is the LCM of 7044 and 7050?
The LCM of 7044 and 7050 is 8276700.
2. How to find the lowest common multiple of 7044 and 7050?
To find the lowest common multiple of 7044 and 7050, we have to get the multip;es of both numbers and identify the least common multiple in them which is 8276700.
3. What are the Factors of 7044?
Answer: Factors of 7044 are 1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044. There are 12 integers that are factors of 7044. The greatest factor of 7044 is 7044.
4. What are the Factors of 7050?
Answer: Factors of 7050 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 47, 50, 75, 94, 141, 150, 235, 282, 470, 705, 1175, 1410, 2350, 3525, 7050. There are 24 integers that are factors of 7050. The greatest factor of 7050 is 7050.
5. How to Find the LCM of 7044 and 7050?Answer:
Least Common Multiple of 7044 and 7050 = 8276700
Step 1: Find the prime factorization of 7044
7044 = 2 x 2 x 3 x 587
Step 2: Find the prime factorization of 7050
7050 = 2 x 3 x 5 x 5 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8276700 = 2 x 2 x 3 x 5 x 5 x 47 x 587
Step 4: Therefore, the least common multiple of 7044 and 7050 is 8276700.