LCM of 4784, 9438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 4784, 9438 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 4784, 9438. So, keep reading to learn more.
Given numbers are 4784,9438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4784,9438 is 1736592.
Find LCM of 4784,9438 with Prime Factorization
| 2 | 4784, 9438 |
| 13 | 2392, 4719 |
| 184, 363 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 184 x 363 = 1736592
Therefore, the lowest common multiple of 4784,9438 is 1736592.
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.
4784 x 9438 = 45151392
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.
4784 : 1, 2, 4, 8, 13, 16, 23, 26, 46, 52, 92, 104, 184, 208, 299, 368, 598, 1196, 2392, 4784
9438 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 121, 143, 242, 286, 363, 429, 726, 858, 1573, 3146, 4719, 9438
26 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4784,9438, is 26.
Now, the common factors can be found like this.
4784:2x 2x 2x 2x 13x 23
9438:2x 3x 11x 11x 13
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 = 45151392/(26x1)
LCM = 45151392/26
LCM = 1736592
Thus, we can understand that the LCM of 4784,9438 is 1736592.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 4784, 9438
1. What is the LCM of 4784, 9438?
Answer: LCM of 4784, 9438 is 1736592.
2. How to calculate the LCM of 4784, 9438?
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 4784, 9438.
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}.