LCM of 572, 644, 381, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 644, 381, 462 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 572, 644, 381, 462. So, keep reading to learn more.
Given numbers are 572,644,381,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,644,381,462 is 35087052.
Find LCM of 572,644,381,462 with Prime Factorization
| 2 | 572, 644, 381, 462 |
| 2 | 286, 322, 381, 231 |
| 3 | 143, 161, 381, 231 |
| 7 | 143, 161, 127, 77 |
| 11 | 143, 23, 127, 11 |
| 13, 23, 127, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 13 x 23 x 127 x 1 = 35087052
Therefore, the lowest common multiple of 572,644,381,462 is 35087052.
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.
572 x 644 x 381 x 462 = 64840872096
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
381 : 1, 3, 127, 381
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,644,381,462, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
644:2x 2x 7x 23
381:3x 127
462:2x 3x 7x 11
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 7x 11 = 1848
Therefore, the value for common factors is 1848.
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 = 64840872096/(1x1848)
LCM = 64840872096/1848
LCM = 35087052
Thus, we can understand that the LCM of 572,644,381,462 is 35087052.
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FAQs on LCM of 572, 644, 381, 462
1. What is the LCM of 572, 644, 381, 462?
Answer: LCM of 572, 644, 381, 462 is 35087052.
2. How to calculate the LCM of 572, 644, 381, 462?
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 572, 644, 381, 462.
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}.