It is easy to find the LCM of 7040 and 7045 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 9919360 as output. Here you can check the answer for Find the LCM of 7040 and 7045.
Given Numbers are 7040, 7045
We can find the LCM of 7040, 7045 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 7040 and 7045
Multiples of 7040 =7040,14080,21120,28160,35200,42240,49280,56320,63360,70400,77440,84480,91520,98560,105600,112640,119680,
Multiples of 7045 =7045,14090,21135,28180,35225,42270,49315,56360,63405,70450,77495,84540,91585,98630,105675,112720,119765,
Now, get the least common multiple of 7040, 7045 which is 9919360
So, the LCM of 7040, 7045 is 9919360.
One method for determining the LCM of 7040 and 7045 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 7040's prime factorization:2 | 7040 |
2 | 3520 |
2 | 1760 |
2 | 880 |
2 | 440 |
2 | 220 |
2 | 110 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 7040 are 2, 5,11.
7040 = 27×51×111
And this is 7045's prime factorization:
5 | 7045 |
1409 | 1409 |
1 |
Prime factors of 7045 are 5,1409.
7045 = 51×14091
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, 5,11,1409
.27×51×111×14091 = 9919360
This shows that the LCM of 7040 and 7045 is 9919360.
The first step in determining the Least Common Multiple of 7040 and 7045 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 7040 and 7045:
Lets look at the first ten multiples of these numbers, 7040 and 7045:
7040,14080,21120,28160,35200,42240,49280,56320,63360,119680 are the first ten multiples of 7040.
7045,14090,21135,28180,35225,42270,49315,56360,63405,119765 are the first ten multiples of 7045.
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 7040 and 7045, for example, are 84480, 119680, and 112720. 9919360 is the least common multiple since it is the smallest.
7040 and 7045 have an LCM of 9919360.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7040 and 7045, than apply into the LCM equation.
GCF(7040,7045) = 5
LCM(7040,7045) = ( 7040 × 7045) / 5
LCM(7040,7045) = 49596800 / 5
LCM(7040,7045) = 9919360
1. What is the LCM of 7040 and 7045?
The LCM of 7040 and 7045 is 9919360.
2. How to find the lowest common multiple of 7040 and 7045?
To find the lowest common multiple of 7040 and 7045, we have to get the multip;es of both numbers and identify the least common multiple in them which is 9919360.
3. What are the Factors of 7040?
Answer: Factors of 7040 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040. There are 32 integers that are factors of 7040. The greatest factor of 7040 is 7040.
4. What are the Factors of 7045?
Answer: Factors of 7045 are 1, 5, 1409, 7045. There are 4 integers that are factors of 7045. The greatest factor of 7045 is 7045.
5. How to Find the LCM of 7040 and 7045?Answer:
Least Common Multiple of 7040 and 7045 = 9919360
Step 1: Find the prime factorization of 7040
7040 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11
Step 2: Find the prime factorization of 7045
7045 = 5 x 1409
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9919360 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 1409
Step 4: Therefore, the least common multiple of 7040 and 7045 is 9919360.