Find the LCM of 846, 320, 144, 215, 730 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 846, 320, 144, 215, 730. So, keep reading to learn more.
Given numbers are 846,320,144,215,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 846,320,144,215,730 is 424895040.
Find LCM of 846,320,144,215,730 with Prime Factorization
2 | 846, 320, 144, 215, 730 |
2 | 423, 160, 72, 215, 365 |
2 | 423, 80, 36, 215, 365 |
2 | 423, 40, 18, 215, 365 |
3 | 423, 20, 9, 215, 365 |
3 | 141, 20, 3, 215, 365 |
5 | 47, 20, 1, 215, 365 |
47, 4, 1, 43, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 5 x 47 x 4 x 1 x 43 x 73 = 424895040
Therefore, the lowest common multiple of 846,320,144,215,730 is 424895040.
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.
846 x 320 x 144 x 215 x 730 = 6118488576000
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.
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
215 : 1, 5, 43, 215
730 : 1, 2, 5, 10, 73, 146, 365, 730
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,320,144,215,730, is 1.
Now, the common factors can be found like this.
846:2x 3x 3x 47
320:2x 2x 2x 2x 2x 2x 5
144:2x 2x 2x 2x 3x 3
215:5x 43
730:2x 5x 73
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 2x 2x 2x 2x 3x 3x 5x 5 = 14400
Therefore, the value for common factors is 14400.
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 = 6118488576000/(1x14400)
LCM = 6118488576000/14400
LCM = 424895040
Thus, we can understand that the LCM of 846,320,144,215,730 is 424895040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 846, 320, 144, 215, 730?
Answer: LCM of 846, 320, 144, 215, 730 is 424895040.
2. How to calculate the LCM of 846, 320, 144, 215, 730?
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 846, 320, 144, 215, 730.
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}.