LCM of 959, 288, 608, 404
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 959, 288, 608, 404 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 959, 288, 608, 404. So, keep reading to learn more.
Given numbers are 959,288,608,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,288,608,404 is 530012448.
Find LCM of 959,288,608,404 with Prime Factorization
| 2 | 959, 288, 608, 404 |
| 2 | 959, 144, 304, 202 |
| 2 | 959, 72, 152, 101 |
| 2 | 959, 36, 76, 101 |
| 2 | 959, 18, 38, 101 |
| 959, 9, 19, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 959 x 9 x 19 x 101 = 530012448
Therefore, the lowest common multiple of 959,288,608,404 is 530012448.
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.
959 x 288 x 608 x 404 = 67841593344
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.
959 : 1, 7, 137, 959
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
404 : 1, 2, 4, 101, 202, 404
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,288,608,404, is 1.
Now, the common factors can be found like this.
959:7x 137
288:2x 2x 2x 2x 2x 3x 3
608:2x 2x 2x 2x 2x 19
404:2x 2x 101
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 2 = 128
Therefore, the value for common factors is 128.
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 = 67841593344/(1x128)
LCM = 67841593344/128
LCM = 530012448
Thus, we can understand that the LCM of 959,288,608,404 is 530012448.
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FAQs on LCM of 959, 288, 608, 404
1. What is the LCM of 959, 288, 608, 404?
Answer: LCM of 959, 288, 608, 404 is 530012448.
2. How to calculate the LCM of 959, 288, 608, 404?
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 959, 288, 608, 404.
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}.