LCM of 4646, 5328
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 4646, 5328 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 4646, 5328. So, keep reading to learn more.
Given numbers are 4646,5328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4646,5328 is 12376944.
Find LCM of 4646,5328 with Prime Factorization
| 2 | 4646, 5328 |
| 2323, 2664 |
Multiply the prime numbers at the bottom and the left side.
2 x 2323 x 2664 = 12376944
Therefore, the lowest common multiple of 4646,5328 is 12376944.
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.
4646 x 5328 = 24753888
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.
4646 : 1, 2, 23, 46, 101, 202, 2323, 4646
5328 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 37, 48, 72, 74, 111, 144, 148, 222, 296, 333, 444, 592, 666, 888, 1332, 1776, 2664, 5328
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4646,5328, is 2.
Now, the common factors can be found like this.
4646:2x 23x 101
5328:2x 2x 2x 2x 3x 3x 37
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 = 24753888/(2x1)
LCM = 24753888/2
LCM = 12376944
Thus, we can understand that the LCM of 4646,5328 is 12376944.
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FAQs on LCM of 4646, 5328
1. What is the LCM of 4646, 5328?
Answer: LCM of 4646, 5328 is 12376944.
2. How to calculate the LCM of 4646, 5328?
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 4646, 5328.
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}.