Find the LCM of 159, 142, 530, 101, 854 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, 142, 530, 101, 854. So, keep reading to learn more.
Given numbers are 159,142,530,101,854
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,142,530,101,854 is 4868607030.
Find LCM of 159,142,530,101,854 with Prime Factorization
2 | 159, 142, 530, 101, 854 |
53 | 159, 71, 265, 101, 427 |
3, 71, 5, 101, 427 |
Multiply the prime numbers at the bottom and the left side.
2 x 53 x 3 x 71 x 5 x 101 x 427 = 4868607030
Therefore, the lowest common multiple of 159,142,530,101,854 is 4868607030.
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 142 x 530 x 101 x 854 = 1032144690360
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
142 : 1, 2, 71, 142
530 : 1, 2, 5, 10, 53, 106, 265, 530
101 : 1, 101
854 : 1, 2, 7, 14, 61, 122, 427, 854
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,142,530,101,854, is 1.
Now, the common factors can be found like this.
159:3x 53
142:2x 71
530:2x 5x 53
101:101
854:2x 7x 61
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 53 = 212
Therefore, the value for common factors is 212.
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 = 1032144690360/(1x212)
LCM = 1032144690360/212
LCM = 4868607030
Thus, we can understand that the LCM of 159,142,530,101,854 is 4868607030.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 159, 142, 530, 101, 854?
Answer: LCM of 159, 142, 530, 101, 854 is 4868607030.
2. How to calculate the LCM of 159, 142, 530, 101, 854?
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, 142, 530, 101, 854.
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}.