LCM of 376, 320, 393, 435, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 376, 320, 393, 435, 423 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 376, 320, 393, 435, 423. So, keep reading to learn more.
Given numbers are 376,320,393,435,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 376,320,393,435,423 is 514232640.
Find LCM of 376,320,393,435,423 with Prime Factorization
| 2 | 376, 320, 393, 435, 423 |
| 2 | 188, 160, 393, 435, 423 |
| 2 | 94, 80, 393, 435, 423 |
| 3 | 47, 40, 393, 435, 423 |
| 5 | 47, 40, 131, 145, 141 |
| 47 | 47, 8, 131, 29, 141 |
| 1, 8, 131, 29, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 47 x 1 x 8 x 131 x 29 x 3 = 514232640
Therefore, the lowest common multiple of 376,320,393,435,423 is 514232640.
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.
376 x 320 x 393 x 435 x 423 = 8700816268800
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.
376 : 1, 2, 4, 8, 47, 94, 188, 376
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
393 : 1, 3, 131, 393
435 : 1, 3, 5, 15, 29, 87, 145, 435
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,320,393,435,423, is 1.
Now, the common factors can be found like this.
376:2x 2x 2x 47
320:2x 2x 2x 2x 2x 2x 5
393:3x 131
435:3x 5x 29
423:3x 3x 47
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 3x 3x 5x 47 = 16920
Therefore, the value for common factors is 16920.
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 = 8700816268800/(1x16920)
LCM = 8700816268800/16920
LCM = 514232640
Thus, we can understand that the LCM of 376,320,393,435,423 is 514232640.
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FAQs on LCM of 376, 320, 393, 435, 423
1. What is the LCM of 376, 320, 393, 435, 423?
Answer: LCM of 376, 320, 393, 435, 423 is 514232640.
2. How to calculate the LCM of 376, 320, 393, 435, 423?
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 376, 320, 393, 435, 423.
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}.