LCM of 231, 518, 406, 663
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 231, 518, 406, 663 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 231, 518, 406, 663. So, keep reading to learn more.
Given numbers are 231,518,406,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 231,518,406,663 is 109555446.
Find LCM of 231,518,406,663 with Prime Factorization
| 2 | 231, 518, 406, 663 |
| 3 | 231, 259, 203, 663 |
| 7 | 77, 259, 203, 221 |
| 11, 37, 29, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 37 x 29 x 221 = 109555446
Therefore, the lowest common multiple of 231,518,406,663 is 109555446.
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.
231 x 518 x 406 x 663 = 32209301124
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.
231 : 1, 3, 7, 11, 21, 33, 77, 231
518 : 1, 2, 7, 14, 37, 74, 259, 518
406 : 1, 2, 7, 14, 29, 58, 203, 406
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,518,406,663, is 1.
Now, the common factors can be found like this.
231:3x 7x 11
518:2x 7x 37
406:2x 7x 29
663:3x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 7 = 294
Therefore, the value for common factors is 294.
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 = 32209301124/(1x294)
LCM = 32209301124/294
LCM = 109555446
Thus, we can understand that the LCM of 231,518,406,663 is 109555446.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 231, 518, 406, 663
1. What is the LCM of 231, 518, 406, 663?
Answer: LCM of 231, 518, 406, 663 is 109555446.
2. How to calculate the LCM of 231, 518, 406, 663?
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 231, 518, 406, 663.
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}.