LCM of 4408, 9628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 4408, 9628 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 4408, 9628. So, keep reading to learn more.
Given numbers are 4408,9628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4408,9628 is 365864.
Find LCM of 4408,9628 with Prime Factorization
| 2 | 4408, 9628 |
| 2 | 2204, 4814 |
| 29 | 1102, 2407 |
| 38, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 38 x 83 = 365864
Therefore, the lowest common multiple of 4408,9628 is 365864.
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.
4408 x 9628 = 42440224
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.
4408 : 1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204, 4408
9628 : 1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814, 9628
116 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4408,9628, is 116.
Now, the common factors can be found like this.
4408:2x 2x 2x 19x 29
9628:2x 2x 29x 83
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 = 42440224/(116x1)
LCM = 42440224/116
LCM = 365864
Thus, we can understand that the LCM of 4408,9628 is 365864.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 4408, 9628
1. What is the LCM of 4408, 9628?
Answer: LCM of 4408, 9628 is 365864.
2. How to calculate the LCM of 4408, 9628?
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 4408, 9628.
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}.