LCM of 521, 118, 784, 826, 320
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 521, 118, 784, 826, 320 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 521, 118, 784, 826, 320. So, keep reading to learn more.
Given numbers are 521,118,784,826,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 521,118,784,826,320 is 481987520.
Find LCM of 521,118,784,826,320 with Prime Factorization
| 2 | 521, 118, 784, 826, 320 |
| 2 | 521, 59, 392, 413, 160 |
| 2 | 521, 59, 196, 413, 80 |
| 2 | 521, 59, 98, 413, 40 |
| 7 | 521, 59, 49, 413, 20 |
| 59 | 521, 59, 7, 59, 20 |
| 521, 1, 7, 1, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 59 x 521 x 1 x 7 x 1 x 20 = 481987520
Therefore, the lowest common multiple of 521,118,784,826,320 is 481987520.
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.
521 x 118 x 784 x 826 x 320 = 12739894128640
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.
521 : 1, 521
118 : 1, 2, 59, 118
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
826 : 1, 2, 7, 14, 59, 118, 413, 826
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,118,784,826,320, is 1.
Now, the common factors can be found like this.
521:521
118:2x 59
784:2x 2x 2x 2x 7x 7
826:2x 7x 59
320:2x 2x 2x 2x 2x 2x 5
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 2x 2x 7x 59 = 26432
Therefore, the value for common factors is 26432.
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 = 12739894128640/(1x26432)
LCM = 12739894128640/26432
LCM = 481987520
Thus, we can understand that the LCM of 521,118,784,826,320 is 481987520.
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FAQs on LCM of 521, 118, 784, 826, 320
1. What is the LCM of 521, 118, 784, 826, 320?
Answer: LCM of 521, 118, 784, 826, 320 is 481987520.
2. How to calculate the LCM of 521, 118, 784, 826, 320?
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 521, 118, 784, 826, 320.
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}.