LCM of 451, 704, 282, 552, 997
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 704, 282, 552, 997 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, 704, 282, 552, 997. So, keep reading to learn more.
Given numbers are 451,704,282,552,997
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,704,282,552,997 is 93325134144.
Find LCM of 451,704,282,552,997 with Prime Factorization
| 2 | 451, 704, 282, 552, 997 |
| 2 | 451, 352, 141, 276, 997 |
| 2 | 451, 176, 141, 138, 997 |
| 3 | 451, 88, 141, 69, 997 |
| 11 | 451, 88, 47, 23, 997 |
| 41, 8, 47, 23, 997 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 41 x 8 x 47 x 23 x 997 = 93325134144
Therefore, the lowest common multiple of 451,704,282,552,997 is 93325134144.
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 704 x 282 x 552 x 997 = 49275670828032
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
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
282 : 1, 2, 3, 6, 47, 94, 141, 282
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
997 : 1, 997
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,704,282,552,997, is 1.
Now, the common factors can be found like this.
451:11x 41
704:2x 2x 2x 2x 2x 2x 11
282:2x 3x 47
552:2x 2x 2x 3x 23
997:997
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 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 49275670828032/(1x528)
LCM = 49275670828032/528
LCM = 93325134144
Thus, we can understand that the LCM of 451,704,282,552,997 is 93325134144.
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FAQs on LCM of 451, 704, 282, 552, 997
1. What is the LCM of 451, 704, 282, 552, 997?
Answer: LCM of 451, 704, 282, 552, 997 is 93325134144.
2. How to calculate the LCM of 451, 704, 282, 552, 997?
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, 704, 282, 552, 997.
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}.