LCM of 493, 442, 972, 234, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 442, 972, 234, 462 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, 442, 972, 234, 462. So, keep reading to learn more.
Given numbers are 493,442,972,234,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,442,972,234,462 is 479675196.
Find LCM of 493,442,972,234,462 with Prime Factorization
| 2 | 493, 442, 972, 234, 462 |
| 3 | 493, 221, 486, 117, 231 |
| 3 | 493, 221, 162, 39, 77 |
| 13 | 493, 221, 54, 13, 77 |
| 17 | 493, 17, 54, 1, 77 |
| 29, 1, 54, 1, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 17 x 29 x 1 x 54 x 1 x 77 = 479675196
Therefore, the lowest common multiple of 493,442,972,234,462 is 479675196.
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 442 x 972 x 234 x 462 = 22897775156256
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
442 : 1, 2, 13, 17, 26, 34, 221, 442
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,442,972,234,462, is 1.
Now, the common factors can be found like this.
493:17x 29
442:2x 13x 17
972:2x 2x 3x 3x 3x 3x 3
234:2x 3x 3x 13
462:2x 3x 7x 11
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 3x 13x 17 = 47736
Therefore, the value for common factors is 47736.
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 = 22897775156256/(1x47736)
LCM = 22897775156256/47736
LCM = 479675196
Thus, we can understand that the LCM of 493,442,972,234,462 is 479675196.
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FAQs on LCM of 493, 442, 972, 234, 462
1. What is the LCM of 493, 442, 972, 234, 462?
Answer: LCM of 493, 442, 972, 234, 462 is 479675196.
2. How to calculate the LCM of 493, 442, 972, 234, 462?
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, 442, 972, 234, 462.
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}.