LCM of 755, 412, 436, 697, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 755, 412, 436, 697, 779 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 755, 412, 436, 697, 779. So, keep reading to learn more.
Given numbers are 755,412,436,697,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 755,412,436,697,779 is 449011066220.
Find LCM of 755,412,436,697,779 with Prime Factorization
| 2 | 755, 412, 436, 697, 779 |
| 2 | 755, 206, 218, 697, 779 |
| 41 | 755, 103, 109, 697, 779 |
| 755, 103, 109, 17, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 41 x 755 x 103 x 109 x 17 x 19 = 449011066220
Therefore, the lowest common multiple of 755,412,436,697,779 is 449011066220.
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.
755 x 412 x 436 x 697 x 779 = 73637814860080
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.
755 : 1, 5, 151, 755
412 : 1, 2, 4, 103, 206, 412
436 : 1, 2, 4, 109, 218, 436
697 : 1, 17, 41, 697
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,412,436,697,779, is 1.
Now, the common factors can be found like this.
755:5x 151
412:2x 2x 103
436:2x 2x 109
697:17x 41
779:19x 41
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 41 = 164
Therefore, the value for common factors is 164.
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 = 73637814860080/(1x164)
LCM = 73637814860080/164
LCM = 449011066220
Thus, we can understand that the LCM of 755,412,436,697,779 is 449011066220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 755, 412, 436, 697, 779
1. What is the LCM of 755, 412, 436, 697, 779?
Answer: LCM of 755, 412, 436, 697, 779 is 449011066220.
2. How to calculate the LCM of 755, 412, 436, 697, 779?
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 755, 412, 436, 697, 779.
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}.