Find the LCM of 153, 546, 794, 104, 572 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 153, 546, 794, 104, 572. So, keep reading to learn more.
Given numbers are 153,546,794,104,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,546,794,104,572 is 486413928.
Find LCM of 153,546,794,104,572 with Prime Factorization
2 | 153, 546, 794, 104, 572 |
2 | 153, 273, 397, 52, 286 |
3 | 153, 273, 397, 26, 143 |
13 | 51, 91, 397, 26, 143 |
51, 7, 397, 2, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 51 x 7 x 397 x 2 x 11 = 486413928
Therefore, the lowest common multiple of 153,546,794,104,572 is 486413928.
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.
153 x 546 x 794 x 104 x 572 = 3945789783936
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.
153 : 1, 3, 9, 17, 51, 153
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
794 : 1, 2, 397, 794
104 : 1, 2, 4, 8, 13, 26, 52, 104
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,546,794,104,572, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
546:2x 3x 7x 13
794:2x 397
104:2x 2x 2x 13
572:2x 2x 11x 13
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 13x 13 = 8112
Therefore, the value for common factors is 8112.
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 = 3945789783936/(1x8112)
LCM = 3945789783936/8112
LCM = 486413928
Thus, we can understand that the LCM of 153,546,794,104,572 is 486413928.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 153, 546, 794, 104, 572?
Answer: LCM of 153, 546, 794, 104, 572 is 486413928.
2. How to calculate the LCM of 153, 546, 794, 104, 572?
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 153, 546, 794, 104, 572.
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}.