Find the LCM of 635, 379, 572, 697, 459 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 635, 379, 572, 697, 459. So, keep reading to learn more.
Given numbers are 635,379,572,697,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,379,572,697,459 is 2590630691220.
Find LCM of 635,379,572,697,459 with Prime Factorization
17 | 635, 379, 572, 697, 459 |
635, 379, 572, 41, 27 |
Multiply the prime numbers at the bottom and the left side.
17 x 635 x 379 x 572 x 41 x 27 = 2590630691220
Therefore, the lowest common multiple of 635,379,572,697,459 is 2590630691220.
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.
635 x 379 x 572 x 697 x 459 = 44040721750740
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.
635 : 1, 5, 127, 635
379 : 1, 379
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
697 : 1, 17, 41, 697
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,379,572,697,459, is 1.
Now, the common factors can be found like this.
635:5x 127
379:379
572:2x 2x 11x 13
697:17x 41
459:3x 3x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 44040721750740/(1x17)
LCM = 44040721750740/17
LCM = 2590630691220
Thus, we can understand that the LCM of 635,379,572,697,459 is 2590630691220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 635, 379, 572, 697, 459?
Answer: LCM of 635, 379, 572, 697, 459 is 2590630691220.
2. How to calculate the LCM of 635, 379, 572, 697, 459?
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 635, 379, 572, 697, 459.
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}.