LCM of 521, 493, 525, 705, 521
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 521, 493, 525, 705, 521 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, 493, 525, 705, 521. So, keep reading to learn more.
Given numbers are 521,493,525,705,521
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 521,493,525,705,521 is 6337847775.
Find LCM of 521,493,525,705,521 with Prime Factorization
| 3 | 521, 493, 525, 705, 521 |
| 5 | 521, 493, 175, 235, 521 |
| 521 | 521, 493, 35, 47, 521 |
| 1, 493, 35, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 521 x 1 x 493 x 35 x 47 x 1 = 6337847775
Therefore, the lowest common multiple of 521,493,525,705,521 is 6337847775.
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 493 x 525 x 705 x 521 = 49530280361625
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
493 : 1, 17, 29, 493
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
705 : 1, 3, 5, 15, 47, 141, 235, 705
521 : 1, 521
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,493,525,705,521, is 1.
Now, the common factors can be found like this.
521:521
493:17x 29
525:3x 5x 5x 7
705:3x 5x 47
521:521
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 521 = 7815
Therefore, the value for common factors is 7815.
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 = 49530280361625/(1x7815)
LCM = 49530280361625/7815
LCM = 6337847775
Thus, we can understand that the LCM of 521,493,525,705,521 is 6337847775.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 521, 493, 525, 705, 521
1. What is the LCM of 521, 493, 525, 705, 521?
Answer: LCM of 521, 493, 525, 705, 521 is 6337847775.
2. How to calculate the LCM of 521, 493, 525, 705, 521?
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, 493, 525, 705, 521.
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}.