LCM of 493, 440, 130, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 440, 130, 638 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 493, 440, 130, 638. So, keep reading to learn more.
Given numbers are 493,440,130,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,440,130,638 is 2819960.
Find LCM of 493,440,130,638 with Prime Factorization
| 2 | 493, 440, 130, 638 |
| 5 | 493, 220, 65, 319 |
| 11 | 493, 44, 13, 319 |
| 29 | 493, 4, 13, 29 |
| 17, 4, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 29 x 17 x 4 x 13 x 1 = 2819960
Therefore, the lowest common multiple of 493,440,130,638 is 2819960.
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.
493 x 440 x 130 x 638 = 17991344800
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.
493 : 1, 17, 29, 493
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
130 : 1, 2, 5, 10, 13, 26, 65, 130
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,440,130,638, is 1.
Now, the common factors can be found like this.
493:17x 29
440:2x 2x 2x 5x 11
130:2x 5x 13
638:2x 11x 29
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 5x 11x 29 = 6380
Therefore, the value for common factors is 6380.
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 = 17991344800/(1x6380)
LCM = 17991344800/6380
LCM = 2819960
Thus, we can understand that the LCM of 493,440,130,638 is 2819960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 493, 440, 130, 638
1. What is the LCM of 493, 440, 130, 638?
Answer: LCM of 493, 440, 130, 638 is 2819960.
2. How to calculate the LCM of 493, 440, 130, 638?
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 493, 440, 130, 638.
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}.