LCM of 414, 767, 211, 377, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 414, 767, 211, 377, 897 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 414, 767, 211, 377, 897. So, keep reading to learn more.
Given numbers are 414,767,211,377,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,767,211,377,897 is 1943015022.
Find LCM of 414,767,211,377,897 with Prime Factorization
| 3 | 414, 767, 211, 377, 897 |
| 13 | 138, 767, 211, 377, 299 |
| 23 | 138, 59, 211, 29, 23 |
| 6, 59, 211, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 23 x 6 x 59 x 211 x 29 x 1 = 1943015022
Therefore, the lowest common multiple of 414,767,211,377,897 is 1943015022.
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.
414 x 767 x 211 x 377 x 897 = 22657498171542
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.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
767 : 1, 13, 59, 767
211 : 1, 211
377 : 1, 13, 29, 377
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,767,211,377,897, is 1.
Now, the common factors can be found like this.
414:2x 3x 3x 23
767:13x 59
211:211
377:13x 29
897:3x 13x 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 13x 13x 23 = 11661
Therefore, the value for common factors is 11661.
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 = 22657498171542/(1x11661)
LCM = 22657498171542/11661
LCM = 1943015022
Thus, we can understand that the LCM of 414,767,211,377,897 is 1943015022.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 414, 767, 211, 377, 897
1. What is the LCM of 414, 767, 211, 377, 897?
Answer: LCM of 414, 767, 211, 377, 897 is 1943015022.
2. How to calculate the LCM of 414, 767, 211, 377, 897?
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 414, 767, 211, 377, 897.
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}.