LCM of 452, 462, 407, 814, 441
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 462, 407, 814, 441 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 452, 462, 407, 814, 441. So, keep reading to learn more.
Given numbers are 452,462,407,814,441
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,462,407,814,441 is 81128124.
Find LCM of 452,462,407,814,441 with Prime Factorization
| 2 | 452, 462, 407, 814, 441 |
| 3 | 226, 231, 407, 407, 441 |
| 7 | 226, 77, 407, 407, 147 |
| 11 | 226, 11, 407, 407, 21 |
| 37 | 226, 1, 37, 37, 21 |
| 226, 1, 1, 1, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 37 x 226 x 1 x 1 x 1 x 21 = 81128124
Therefore, the lowest common multiple of 452,462,407,814,441 is 81128124.
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.
452 x 462 x 407 x 814 x 441 = 30509691336432
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.
452 : 1, 2, 4, 113, 226, 452
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
407 : 1, 11, 37, 407
814 : 1, 2, 11, 22, 37, 74, 407, 814
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,462,407,814,441, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
462:2x 3x 7x 11
407:11x 37
814:2x 11x 37
441:3x 3x 7x 7
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 7x 11x 11x 37 = 376068
Therefore, the value for common factors is 376068.
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 = 30509691336432/(1x376068)
LCM = 30509691336432/376068
LCM = 81128124
Thus, we can understand that the LCM of 452,462,407,814,441 is 81128124.
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FAQs on LCM of 452, 462, 407, 814, 441
1. What is the LCM of 452, 462, 407, 814, 441?
Answer: LCM of 452, 462, 407, 814, 441 is 81128124.
2. How to calculate the LCM of 452, 462, 407, 814, 441?
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 452, 462, 407, 814, 441.
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}.