Find the LCM of 805, 879, 359, 423, 495 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 805, 879, 359, 423, 495. So, keep reading to learn more.
Given numbers are 805,879,359,423,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,879,359,423,495 is 393995264355.
Find LCM of 805,879,359,423,495 with Prime Factorization
3 | 805, 879, 359, 423, 495 |
3 | 805, 293, 359, 141, 165 |
5 | 805, 293, 359, 47, 55 |
161, 293, 359, 47, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 161 x 293 x 359 x 47 x 11 = 393995264355
Therefore, the lowest common multiple of 805,879,359,423,495 is 393995264355.
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.
805 x 879 x 359 x 423 x 495 = 53189360687925
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
879 : 1, 3, 293, 879
359 : 1, 359
423 : 1, 3, 9, 47, 141, 423
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,879,359,423,495, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
879:3x 293
359:359
423:3x 3x 47
495:3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 53189360687925/(1x135)
LCM = 53189360687925/135
LCM = 393995264355
Thus, we can understand that the LCM of 805,879,359,423,495 is 393995264355.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 805, 879, 359, 423, 495?
Answer: LCM of 805, 879, 359, 423, 495 is 393995264355.
2. How to calculate the LCM of 805, 879, 359, 423, 495?
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 805, 879, 359, 423, 495.
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}.