LCM of 413, 476, 156, 588, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 413, 476, 156, 588, 918 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 413, 476, 156, 588, 918. So, keep reading to learn more.
Given numbers are 413,476,156,588,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 413,476,156,588,918 is 69002388.
Find LCM of 413,476,156,588,918 with Prime Factorization
| 2 | 413, 476, 156, 588, 918 |
| 2 | 413, 238, 78, 294, 459 |
| 3 | 413, 119, 39, 147, 459 |
| 7 | 413, 119, 13, 49, 153 |
| 17 | 59, 17, 13, 7, 153 |
| 59, 1, 13, 7, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 59 x 1 x 13 x 7 x 9 = 69002388
Therefore, the lowest common multiple of 413,476,156,588,918 is 69002388.
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.
413 x 476 x 156 x 588 x 918 = 16553948890752
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.
413 : 1, 7, 59, 413
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,476,156,588,918, is 1.
Now, the common factors can be found like this.
413:7x 59
476:2x 2x 7x 17
156:2x 2x 3x 13
588:2x 2x 3x 7x 7
918:2x 3x 3x 3x 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 2x 2x 2x 2x 3x 3x 7x 7x 17 = 239904
Therefore, the value for common factors is 239904.
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 = 16553948890752/(1x239904)
LCM = 16553948890752/239904
LCM = 69002388
Thus, we can understand that the LCM of 413,476,156,588,918 is 69002388.
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FAQs on LCM of 413, 476, 156, 588, 918
1. What is the LCM of 413, 476, 156, 588, 918?
Answer: LCM of 413, 476, 156, 588, 918 is 69002388.
2. How to calculate the LCM of 413, 476, 156, 588, 918?
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 413, 476, 156, 588, 918.
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}.