LCM of 467, 794, 897, 221, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 794, 897, 221, 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 467, 794, 897, 221, 897. So, keep reading to learn more.
Given numbers are 467,794,897,221,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,794,897,221,897 is 5654298702.
Find LCM of 467,794,897,221,897 with Prime Factorization
| 3 | 467, 794, 897, 221, 897 |
| 13 | 467, 794, 299, 221, 299 |
| 23 | 467, 794, 23, 17, 23 |
| 467, 794, 1, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 23 x 467 x 794 x 1 x 17 x 1 = 5654298702
Therefore, the lowest common multiple of 467,794,897,221,897 is 5654298702.
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.
467 x 794 x 897 x 221 x 897 = 65934777164022
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.
467 : 1, 467
794 : 1, 2, 397, 794
897 : 1, 3, 13, 23, 39, 69, 299, 897
221 : 1, 13, 17, 221
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 467,794,897,221,897, is 1.
Now, the common factors can be found like this.
467:467
794:2x 397
897:3x 13x 23
221:13x 17
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 = 65934777164022/(1x11661)
LCM = 65934777164022/11661
LCM = 5654298702
Thus, we can understand that the LCM of 467,794,897,221,897 is 5654298702.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 467, 794, 897, 221, 897
1. What is the LCM of 467, 794, 897, 221, 897?
Answer: LCM of 467, 794, 897, 221, 897 is 5654298702.
2. How to calculate the LCM of 467, 794, 897, 221, 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 467, 794, 897, 221, 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}.