LCM of 406, 972, 494, 423, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 406, 972, 494, 423, 882 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 406, 972, 494, 423, 882. So, keep reading to learn more.
Given numbers are 406,972,494,423,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 406,972,494,423,882 is 16034490108.
Find LCM of 406,972,494,423,882 with Prime Factorization
| 2 | 406, 972, 494, 423, 882 |
| 3 | 203, 486, 247, 423, 441 |
| 3 | 203, 162, 247, 141, 147 |
| 7 | 203, 54, 247, 47, 49 |
| 29, 54, 247, 47, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 29 x 54 x 247 x 47 x 7 = 16034490108
Therefore, the lowest common multiple of 406,972,494,423,882 is 16034490108.
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.
406 x 972 x 494 x 423 x 882 = 72732447129888
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.
406 : 1, 2, 7, 14, 29, 58, 203, 406
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
494 : 1, 2, 13, 19, 26, 38, 247, 494
423 : 1, 3, 9, 47, 141, 423
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,972,494,423,882, is 1.
Now, the common factors can be found like this.
406:2x 7x 29
972:2x 2x 3x 3x 3x 3x 3
494:2x 13x 19
423:3x 3x 47
882:2x 3x 3x 7x 7
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 3x 7 = 4536
Therefore, the value for common factors is 4536.
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 = 72732447129888/(1x4536)
LCM = 72732447129888/4536
LCM = 16034490108
Thus, we can understand that the LCM of 406,972,494,423,882 is 16034490108.
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FAQs on LCM of 406, 972, 494, 423, 882
1. What is the LCM of 406, 972, 494, 423, 882?
Answer: LCM of 406, 972, 494, 423, 882 is 16034490108.
2. How to calculate the LCM of 406, 972, 494, 423, 882?
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 406, 972, 494, 423, 882.
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}.