Find the LCM of 159, 232, 546, 452, 840 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, 232, 546, 452, 840. So, keep reading to learn more.
Given numbers are 159,232,546,452,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,232,546,452,840 is 1896596520.
Find LCM of 159,232,546,452,840 with Prime Factorization
2 | 159, 232, 546, 452, 840 |
2 | 159, 116, 273, 226, 420 |
2 | 159, 58, 273, 113, 210 |
3 | 159, 29, 273, 113, 105 |
7 | 53, 29, 91, 113, 35 |
53, 29, 13, 113, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 53 x 29 x 13 x 113 x 5 = 1896596520
Therefore, the lowest common multiple of 159,232,546,452,840 is 1896596520.
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 232 x 546 x 452 x 840 = 7647077168640
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
232 : 1, 2, 4, 8, 29, 58, 116, 232
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
452 : 1, 2, 4, 113, 226, 452
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,232,546,452,840, is 1.
Now, the common factors can be found like this.
159:3x 53
232:2x 2x 2x 29
546:2x 3x 7x 13
452:2x 2x 113
840:2x 2x 2x 3x 5x 7
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 7 = 4032
Therefore, the value for common factors is 4032.
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 = 7647077168640/(1x4032)
LCM = 7647077168640/4032
LCM = 1896596520
Thus, we can understand that the LCM of 159,232,546,452,840 is 1896596520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 159, 232, 546, 452, 840?
Answer: LCM of 159, 232, 546, 452, 840 is 1896596520.
2. How to calculate the LCM of 159, 232, 546, 452, 840?
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, 232, 546, 452, 840.
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}.