LCM of 958, 144, 352, 493, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 958, 144, 352, 493, 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 958, 144, 352, 493, 423. So, keep reading to learn more.
Given numbers are 958,144,352,493,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,144,352,493,423 is 35161343712.
Find LCM of 958,144,352,493,423 with Prime Factorization
| 2 | 958, 144, 352, 493, 423 |
| 2 | 479, 72, 176, 493, 423 |
| 2 | 479, 36, 88, 493, 423 |
| 2 | 479, 18, 44, 493, 423 |
| 3 | 479, 9, 22, 493, 423 |
| 3 | 479, 3, 22, 493, 141 |
| 479, 1, 22, 493, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 479 x 1 x 22 x 493 x 47 = 35161343712
Therefore, the lowest common multiple of 958,144,352,493,423 is 35161343712.
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.
958 x 144 x 352 x 493 x 423 = 10126466989056
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.
958 : 1, 2, 479, 958
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
493 : 1, 17, 29, 493
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 958,144,352,493,423, is 1.
Now, the common factors can be found like this.
958:2x 479
144:2x 2x 2x 2x 3x 3
352:2x 2x 2x 2x 2x 11
493:17x 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 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 10126466989056/(1x288)
LCM = 10126466989056/288
LCM = 35161343712
Thus, we can understand that the LCM of 958,144,352,493,423 is 35161343712.
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FAQs on LCM of 958, 144, 352, 493, 423
1. What is the LCM of 958, 144, 352, 493, 423?
Answer: LCM of 958, 144, 352, 493, 423 is 35161343712.
2. How to calculate the LCM of 958, 144, 352, 493, 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 958, 144, 352, 493, 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}.