LCM of 646, 494, 646, 219, 786
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 646, 494, 646, 219, 786 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 646, 494, 646, 219, 786. So, keep reading to learn more.
Given numbers are 646,494,646,219,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,494,646,219,786 is 240930222.
Find LCM of 646,494,646,219,786 with Prime Factorization
| 2 | 646, 494, 646, 219, 786 |
| 3 | 323, 247, 323, 219, 393 |
| 17 | 323, 247, 323, 73, 131 |
| 19 | 19, 247, 19, 73, 131 |
| 1, 13, 1, 73, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 1 x 13 x 1 x 73 x 131 = 240930222
Therefore, the lowest common multiple of 646,494,646,219,786 is 240930222.
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.
646 x 494 x 646 x 219 x 786 = 35486130537936
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.
646 : 1, 2, 17, 19, 34, 38, 323, 646
494 : 1, 2, 13, 19, 26, 38, 247, 494
646 : 1, 2, 17, 19, 34, 38, 323, 646
219 : 1, 3, 73, 219
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,494,646,219,786, is 1.
Now, the common factors can be found like this.
646:2x 17x 19
494:2x 13x 19
646:2x 17x 19
219:3x 73
786:2x 3x 131
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 17x 19x 19 = 147288
Therefore, the value for common factors is 147288.
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 = 35486130537936/(1x147288)
LCM = 35486130537936/147288
LCM = 240930222
Thus, we can understand that the LCM of 646,494,646,219,786 is 240930222.
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FAQs on LCM of 646, 494, 646, 219, 786
1. What is the LCM of 646, 494, 646, 219, 786?
Answer: LCM of 646, 494, 646, 219, 786 is 240930222.
2. How to calculate the LCM of 646, 494, 646, 219, 786?
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 646, 494, 646, 219, 786.
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}.