LCM of 523, 363, 381, 784, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 523, 363, 381, 784, 693 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 523, 363, 381, 784, 693. So, keep reading to learn more.
Given numbers are 523,363,381,784,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 523,363,381,784,693 is 56708655696.
Find LCM of 523,363,381,784,693 with Prime Factorization
| 3 | 523, 363, 381, 784, 693 |
| 7 | 523, 121, 127, 784, 231 |
| 11 | 523, 121, 127, 112, 33 |
| 523, 11, 127, 112, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 523 x 11 x 127 x 112 x 3 = 56708655696
Therefore, the lowest common multiple of 523,363,381,784,693 is 56708655696.
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.
523 x 363 x 381 x 784 x 693 = 39299098397328
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.
523 : 1, 523
363 : 1, 3, 11, 33, 121, 363
381 : 1, 3, 127, 381
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,363,381,784,693, is 1.
Now, the common factors can be found like this.
523:523
363:3x 11x 11
381:3x 127
784:2x 2x 2x 2x 7x 7
693:3x 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.
3x 3x 7x 11 = 693
Therefore, the value for common factors is 693.
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 = 39299098397328/(1x693)
LCM = 39299098397328/693
LCM = 56708655696
Thus, we can understand that the LCM of 523,363,381,784,693 is 56708655696.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 523, 363, 381, 784, 693
1. What is the LCM of 523, 363, 381, 784, 693?
Answer: LCM of 523, 363, 381, 784, 693 is 56708655696.
2. How to calculate the LCM of 523, 363, 381, 784, 693?
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 523, 363, 381, 784, 693.
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}.