LCM of 319, 442, 782, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 442, 782, 858 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, 442, 782, 858. So, keep reading to learn more.
Given numbers are 319,442,782,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,442,782,858 is 9728862.
Find LCM of 319,442,782,858 with Prime Factorization
| 2 | 319, 442, 782, 858 |
| 11 | 319, 221, 391, 429 |
| 13 | 29, 221, 391, 39 |
| 17 | 29, 17, 391, 3 |
| 29, 1, 23, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 17 x 29 x 1 x 23 x 3 = 9728862
Therefore, the lowest common multiple of 319,442,782,858 is 9728862.
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 442 x 782 x 858 = 94603454088
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
442 : 1, 2, 13, 17, 26, 34, 221, 442
782 : 1, 2, 17, 23, 34, 46, 391, 782
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,442,782,858, is 1.
Now, the common factors can be found like this.
319:11x 29
442:2x 13x 17
782:2x 17x 23
858:2x 3x 11x 13
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 11x 13x 17 = 9724
Therefore, the value for common factors is 9724.
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 = 94603454088/(1x9724)
LCM = 94603454088/9724
LCM = 9728862
Thus, we can understand that the LCM of 319,442,782,858 is 9728862.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 319, 442, 782, 858
1. What is the LCM of 319, 442, 782, 858?
Answer: LCM of 319, 442, 782, 858 is 9728862.
2. How to calculate the LCM of 319, 442, 782, 858?
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, 442, 782, 858.
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}.