LCM of 242, 413, 429, 738, 566
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 242, 413, 429, 738, 566 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 242, 413, 429, 738, 566. So, keep reading to learn more.
Given numbers are 242,413,429,738,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,413,429,738,566 is 135681792246.
Find LCM of 242,413,429,738,566 with Prime Factorization
| 2 | 242, 413, 429, 738, 566 |
| 3 | 121, 413, 429, 369, 283 |
| 11 | 121, 413, 143, 123, 283 |
| 11, 413, 13, 123, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 11 x 413 x 13 x 123 x 283 = 135681792246
Therefore, the lowest common multiple of 242,413,429,738,566 is 135681792246.
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.
242 x 413 x 429 x 738 x 566 = 17909996576472
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.
242 : 1, 2, 11, 22, 121, 242
413 : 1, 7, 59, 413
429 : 1, 3, 11, 13, 33, 39, 143, 429
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
566 : 1, 2, 283, 566
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,413,429,738,566, is 1.
Now, the common factors can be found like this.
242:2x 11x 11
413:7x 59
429:3x 11x 13
738:2x 3x 3x 41
566:2x 283
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 17909996576472/(1x132)
LCM = 17909996576472/132
LCM = 135681792246
Thus, we can understand that the LCM of 242,413,429,738,566 is 135681792246.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 242, 413, 429, 738, 566
1. What is the LCM of 242, 413, 429, 738, 566?
Answer: LCM of 242, 413, 429, 738, 566 is 135681792246.
2. How to calculate the LCM of 242, 413, 429, 738, 566?
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 242, 413, 429, 738, 566.
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}.