LCM of 319, 759, 344, 682, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 759, 344, 682, 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, 759, 344, 682, 897. So, keep reading to learn more.
Given numbers are 319,759,344,682,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,759,344,682,897 is 3051428952.
Find LCM of 319,759,344,682,897 with Prime Factorization
| 2 | 319, 759, 344, 682, 897 |
| 3 | 319, 759, 172, 341, 897 |
| 11 | 319, 253, 172, 341, 299 |
| 23 | 29, 23, 172, 31, 299 |
| 29, 1, 172, 31, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 23 x 29 x 1 x 172 x 31 x 13 = 3051428952
Therefore, the lowest common multiple of 319,759,344,682,897 is 3051428952.
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 759 x 344 x 682 x 897 = 50952760640496
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
759 : 1, 3, 11, 23, 33, 69, 253, 759
344 : 1, 2, 4, 8, 43, 86, 172, 344
682 : 1, 2, 11, 22, 31, 62, 341, 682
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 319,759,344,682,897, is 1.
Now, the common factors can be found like this.
319:11x 29
759:3x 11x 23
344:2x 2x 2x 43
682:2x 11x 31
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.
2x 3x 11x 11x 23 = 16698
Therefore, the value for common factors is 16698.
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 = 50952760640496/(1x16698)
LCM = 50952760640496/16698
LCM = 3051428952
Thus, we can understand that the LCM of 319,759,344,682,897 is 3051428952.
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FAQs on LCM of 319, 759, 344, 682, 897
1. What is the LCM of 319, 759, 344, 682, 897?
Answer: LCM of 319, 759, 344, 682, 897 is 3051428952.
2. How to calculate the LCM of 319, 759, 344, 682, 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, 759, 344, 682, 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}.