LCM of 451, 462, 643, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 462, 643, 364 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 451, 462, 643, 364. So, keep reading to learn more.
Given numbers are 451,462,643,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,462,643,364 is 316672356.
Find LCM of 451,462,643,364 with Prime Factorization
| 2 | 451, 462, 643, 364 |
| 7 | 451, 231, 643, 182 |
| 11 | 451, 33, 643, 26 |
| 41, 3, 643, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 41 x 3 x 643 x 26 = 316672356
Therefore, the lowest common multiple of 451,462,643,364 is 316672356.
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.
451 x 462 x 643 x 364 = 48767542824
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.
451 : 1, 11, 41, 451
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
643 : 1, 643
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,462,643,364, is 1.
Now, the common factors can be found like this.
451:11x 41
462:2x 3x 7x 11
643:643
364:2x 2x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 11 = 154
Therefore, the value for common factors is 154.
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 = 48767542824/(1x154)
LCM = 48767542824/154
LCM = 316672356
Thus, we can understand that the LCM of 451,462,643,364 is 316672356.
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FAQs on LCM of 451, 462, 643, 364
1. What is the LCM of 451, 462, 643, 364?
Answer: LCM of 451, 462, 643, 364 is 316672356.
2. How to calculate the LCM of 451, 462, 643, 364?
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 451, 462, 643, 364.
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}.