Find the LCM of 159, 207, 942, 901, 428 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, 207, 942, 901, 428. So, keep reading to learn more.
Given numbers are 159,207,942,901,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,207,942,901,428 is 12532524372.
Find LCM of 159,207,942,901,428 with Prime Factorization
2 | 159, 207, 942, 901, 428 |
3 | 159, 207, 471, 901, 214 |
53 | 53, 69, 157, 901, 214 |
1, 69, 157, 17, 214 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 1 x 69 x 157 x 17 x 214 = 12532524372
Therefore, the lowest common multiple of 159,207,942,901,428 is 12532524372.
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 207 x 942 x 901 x 428 = 11956028250888
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
207 : 1, 3, 9, 23, 69, 207
942 : 1, 2, 3, 6, 157, 314, 471, 942
901 : 1, 17, 53, 901
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,207,942,901,428, is 1.
Now, the common factors can be found like this.
159:3x 53
207:3x 3x 23
942:2x 3x 157
901:17x 53
428:2x 2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 53 = 954
Therefore, the value for common factors is 954.
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 = 11956028250888/(1x954)
LCM = 11956028250888/954
LCM = 12532524372
Thus, we can understand that the LCM of 159,207,942,901,428 is 12532524372.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 159, 207, 942, 901, 428?
Answer: LCM of 159, 207, 942, 901, 428 is 12532524372.
2. How to calculate the LCM of 159, 207, 942, 901, 428?
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, 207, 942, 901, 428.
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}.