LCM of 238, 728, 520, 455
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 238, 728, 520, 455 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 238, 728, 520, 455. So, keep reading to learn more.
Given numbers are 238,728,520,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,728,520,455 is 61880.
Find LCM of 238,728,520,455 with Prime Factorization
| 2 | 238, 728, 520, 455 |
| 2 | 119, 364, 260, 455 |
| 2 | 119, 182, 130, 455 |
| 5 | 119, 91, 65, 455 |
| 7 | 119, 91, 13, 91 |
| 13 | 17, 13, 13, 13 |
| 17, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 13 x 17 x 1 x 1 x 1 = 61880
Therefore, the lowest common multiple of 238,728,520,455 is 61880.
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.
238 x 728 x 520 x 455 = 40994262400
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.
238 : 1, 2, 7, 14, 17, 34, 119, 238
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,728,520,455, is 1.
Now, the common factors can be found like this.
238:2x 7x 17
728:2x 2x 2x 7x 13
520:2x 2x 2x 5x 13
455:5x 7x 13
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 5x 7x 7x 13x 13 = 662480
Therefore, the value for common factors is 662480.
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 = 40994262400/(1x662480)
LCM = 40994262400/662480
LCM = 61880
Thus, we can understand that the LCM of 238,728,520,455 is 61880.
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FAQs on LCM of 238, 728, 520, 455
1. What is the LCM of 238, 728, 520, 455?
Answer: LCM of 238, 728, 520, 455 is 61880.
2. How to calculate the LCM of 238, 728, 520, 455?
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 238, 728, 520, 455.
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}.