LCM of 7404, 7536
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 7404, 7536 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 7404, 7536. So, keep reading to learn more.
Given numbers are 7404,7536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 7404,7536 is 4649712.
Find LCM of 7404,7536 with Prime Factorization
| 2 | 7404, 7536 |
| 2 | 3702, 3768 |
| 3 | 1851, 1884 |
| 617, 628 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 617 x 628 = 4649712
Therefore, the lowest common multiple of 7404,7536 is 4649712.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
7404 x 7536 = 55796544
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
7404 : 1, 2, 3, 4, 6, 12, 617, 1234, 1851, 2468, 3702, 7404
7536 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 157, 314, 471, 628, 942, 1256, 1884, 2512, 3768, 7536
12 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7404,7536, is 12.
Now, the common factors can be found like this.
7404:2x 2x 3x 617
7536:2x 2x 2x 2x 3x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 55796544/(12x1)
LCM = 55796544/12
LCM = 4649712
Thus, we can understand that the LCM of 7404,7536 is 4649712.
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FAQs on LCM of 7404, 7536
1. What is the LCM of 7404, 7536?
Answer: LCM of 7404, 7536 is 4649712.
2. How to calculate the LCM of 7404, 7536?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 7404, 7536.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.