LCM of 304, 323, 411, 385, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 323, 411, 385, 975 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 304, 323, 411, 385, 975. So, keep reading to learn more.
Given numbers are 304,323,411,385,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,323,411,385,975 is 53154301200.
Find LCM of 304,323,411,385,975 with Prime Factorization
| 3 | 304, 323, 411, 385, 975 |
| 5 | 304, 323, 137, 385, 325 |
| 19 | 304, 323, 137, 77, 65 |
| 16, 17, 137, 77, 65 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 16 x 17 x 137 x 77 x 65 = 53154301200
Therefore, the lowest common multiple of 304,323,411,385,975 is 53154301200.
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.
304 x 323 x 411 x 385 x 975 = 15148975842000
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
323 : 1, 17, 19, 323
411 : 1, 3, 137, 411
385 : 1, 5, 7, 11, 35, 55, 77, 385
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,323,411,385,975, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
323:17x 19
411:3x 137
385:5x 7x 11
975:3x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 19 = 285
Therefore, the value for common factors is 285.
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 = 15148975842000/(1x285)
LCM = 15148975842000/285
LCM = 53154301200
Thus, we can understand that the LCM of 304,323,411,385,975 is 53154301200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 304, 323, 411, 385, 975
1. What is the LCM of 304, 323, 411, 385, 975?
Answer: LCM of 304, 323, 411, 385, 975 is 53154301200.
2. How to calculate the LCM of 304, 323, 411, 385, 975?
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 304, 323, 411, 385, 975.
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}.