Find the LCM of 319, 652, 819, 943, 842 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, 652, 819, 943, 842. So, keep reading to learn more.
Given numbers are 319,652,819,943,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,652,819,943,842 is 67626353310516.
Find LCM of 319,652,819,943,842 with Prime Factorization
2 | 319, 652, 819, 943, 842 |
319, 326, 819, 943, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 319 x 326 x 819 x 943 x 421 = 67626353310516
Therefore, the lowest common multiple of 319,652,819,943,842 is 67626353310516.
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 652 x 819 x 943 x 842 = 135252706621032
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
652 : 1, 2, 4, 163, 326, 652
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
943 : 1, 23, 41, 943
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,652,819,943,842, is 1.
Now, the common factors can be found like this.
319:11x 29
652:2x 2x 163
819:3x 3x 7x 13
943:23x 41
842:2x 421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 135252706621032/(1x2)
LCM = 135252706621032/2
LCM = 67626353310516
Thus, we can understand that the LCM of 319,652,819,943,842 is 67626353310516.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 652, 819, 943, 842?
Answer: LCM of 319, 652, 819, 943, 842 is 67626353310516.
2. How to calculate the LCM of 319, 652, 819, 943, 842?
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, 652, 819, 943, 842.
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}.