Find the LCM of 159, 108, 678, 350, 424 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 159, 108, 678, 350, 424. So, keep reading to learn more.
Given numbers are 159,108,678,350,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,108,678,350,424 is 226384200.
Find LCM of 159,108,678,350,424 with Prime Factorization
2 | 159, 108, 678, 350, 424 |
2 | 159, 54, 339, 175, 212 |
3 | 159, 27, 339, 175, 106 |
53 | 53, 9, 113, 175, 106 |
1, 9, 113, 175, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 1 x 9 x 113 x 175 x 2 = 226384200
Therefore, the lowest common multiple of 159,108,678,350,424 is 226384200.
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.
159 x 108 x 678 x 350 x 424 = 1727764214400
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.
159 : 1, 3, 53, 159
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
678 : 1, 2, 3, 6, 113, 226, 339, 678
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
424 : 1, 2, 4, 8, 53, 106, 212, 424
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,108,678,350,424, is 1.
Now, the common factors can be found like this.
159:3x 53
108:2x 2x 3x 3x 3
678:2x 3x 113
350:2x 5x 5x 7
424:2x 2x 2x 53
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 3x 3x 53 = 7632
Therefore, the value for common factors is 7632.
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 = 1727764214400/(1x7632)
LCM = 1727764214400/7632
LCM = 226384200
Thus, we can understand that the LCM of 159,108,678,350,424 is 226384200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 159, 108, 678, 350, 424?
Answer: LCM of 159, 108, 678, 350, 424 is 226384200.
2. How to calculate the LCM of 159, 108, 678, 350, 424?
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 159, 108, 678, 350, 424.
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}.