LCM of 319, 221, 882, 575, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 221, 882, 575, 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 319, 221, 882, 575, 897. So, keep reading to learn more.
Given numbers are 319,221,882,575,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,221,882,575,897 is 35753567850.
Find LCM of 319,221,882,575,897 with Prime Factorization
| 3 | 319, 221, 882, 575, 897 |
| 13 | 319, 221, 294, 575, 299 |
| 23 | 319, 17, 294, 575, 23 |
| 319, 17, 294, 25, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 23 x 319 x 17 x 294 x 25 x 1 = 35753567850
Therefore, the lowest common multiple of 319,221,882,575,897 is 35753567850.
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.
319 x 221 x 882 x 575 x 897 = 32070950361450
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.
319 : 1, 11, 29, 319
221 : 1, 13, 17, 221
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
575 : 1, 5, 23, 25, 115, 575
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 319,221,882,575,897, is 1.
Now, the common factors can be found like this.
319:11x 29
221:13x 17
882:2x 3x 3x 7x 7
575:5x 5x 23
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 23 = 897
Therefore, the value for common factors is 897.
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 = 32070950361450/(1x897)
LCM = 32070950361450/897
LCM = 35753567850
Thus, we can understand that the LCM of 319,221,882,575,897 is 35753567850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 319, 221, 882, 575, 897
1. What is the LCM of 319, 221, 882, 575, 897?
Answer: LCM of 319, 221, 882, 575, 897 is 35753567850.
2. How to calculate the LCM of 319, 221, 882, 575, 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 319, 221, 882, 575, 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}.