Find the LCM of 406, 521, 649, 483, 759 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 406, 521, 649, 483, 759. So, keep reading to learn more.
Given numbers are 406,521,649,483,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 406,521,649,483,759 is 9472345806.
Find LCM of 406,521,649,483,759 with Prime Factorization
3 | 406, 521, 649, 483, 759 |
7 | 406, 521, 649, 161, 253 |
11 | 58, 521, 649, 23, 253 |
23 | 58, 521, 59, 23, 23 |
58, 521, 59, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 23 x 58 x 521 x 59 x 1 x 1 = 9472345806
Therefore, the lowest common multiple of 406,521,649,483,759 is 9472345806.
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.
406 x 521 x 649 x 483 x 759 = 50326573267278
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.
406 : 1, 2, 7, 14, 29, 58, 203, 406
521 : 1, 521
649 : 1, 11, 59, 649
483 : 1, 3, 7, 21, 23, 69, 161, 483
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,521,649,483,759, is 1.
Now, the common factors can be found like this.
406:2x 7x 29
521:521
649:11x 59
483:3x 7x 23
759:3x 11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 11x 23 = 5313
Therefore, the value for common factors is 5313.
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 = 50326573267278/(1x5313)
LCM = 50326573267278/5313
LCM = 9472345806
Thus, we can understand that the LCM of 406,521,649,483,759 is 9472345806.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 406, 521, 649, 483, 759?
Answer: LCM of 406, 521, 649, 483, 759 is 9472345806.
2. How to calculate the LCM of 406, 521, 649, 483, 759?
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 406, 521, 649, 483, 759.
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}.