LCM of 384, 464, 372, 243, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 384, 464, 372, 243, 309 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 384, 464, 372, 243, 309. So, keep reading to learn more.
Given numbers are 384,464,372,243,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 384,464,372,243,309 is 2880137088.
Find LCM of 384,464,372,243,309 with Prime Factorization
| 2 | 384, 464, 372, 243, 309 |
| 2 | 192, 232, 186, 243, 309 |
| 2 | 96, 116, 93, 243, 309 |
| 2 | 48, 58, 93, 243, 309 |
| 3 | 24, 29, 93, 243, 309 |
| 8, 29, 31, 81, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 8 x 29 x 31 x 81 x 103 = 2880137088
Therefore, the lowest common multiple of 384,464,372,243,309 is 2880137088.
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.
384 x 464 x 372 x 243 x 309 = 4976876888064
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.
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
243 : 1, 3, 9, 27, 81, 243
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 384,464,372,243,309, is 1.
Now, the common factors can be found like this.
384:2x 2x 2x 2x 2x 2x 2x 3
464:2x 2x 2x 2x 29
372:2x 2x 3x 31
243:3x 3x 3x 3x 3
309:3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 4976876888064/(1x1728)
LCM = 4976876888064/1728
LCM = 2880137088
Thus, we can understand that the LCM of 384,464,372,243,309 is 2880137088.
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FAQs on LCM of 384, 464, 372, 243, 309
1. What is the LCM of 384, 464, 372, 243, 309?
Answer: LCM of 384, 464, 372, 243, 309 is 2880137088.
2. How to calculate the LCM of 384, 464, 372, 243, 309?
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 384, 464, 372, 243, 309.
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}.