LCM of 830, 546, 444, 408, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 830, 546, 444, 408, 312 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 830, 546, 444, 408, 312. So, keep reading to learn more.
Given numbers are 830,546,444,408,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,546,444,408,312 is 570100440.
Find LCM of 830,546,444,408,312 with Prime Factorization
| 2 | 830, 546, 444, 408, 312 |
| 2 | 415, 273, 222, 204, 156 |
| 2 | 415, 273, 111, 102, 78 |
| 3 | 415, 273, 111, 51, 39 |
| 13 | 415, 91, 37, 17, 13 |
| 415, 7, 37, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 415 x 7 x 37 x 17 x 1 = 570100440
Therefore, the lowest common multiple of 830,546,444,408,312 is 570100440.
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.
830 x 546 x 444 x 408 x 312 = 25613472568320
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.
830 : 1, 2, 5, 10, 83, 166, 415, 830
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,546,444,408,312, is 2.
Now, the common factors can be found like this.
830:2x 5x 83
546:2x 3x 7x 13
444:2x 2x 3x 37
408:2x 2x 2x 3x 17
312:2x 2x 2x 3x 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 2x 2x 3x 3x 3x 13 = 22464
Therefore, the value for common factors is 22464.
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 = 25613472568320/(2x22464)
LCM = 25613472568320/44928
LCM = 570100440
Thus, we can understand that the LCM of 830,546,444,408,312 is 570100440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 830, 546, 444, 408, 312
1. What is the LCM of 830, 546, 444, 408, 312?
Answer: LCM of 830, 546, 444, 408, 312 is 570100440.
2. How to calculate the LCM of 830, 546, 444, 408, 312?
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 830, 546, 444, 408, 312.
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}.