Find the LCM of 825, 451, 671, 610, 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 825, 451, 671, 610, 312. So, keep reading to learn more.
Given numbers are 825,451,671,610,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,451,671,610,312 is 214585800.
Find LCM of 825,451,671,610,312 with Prime Factorization
2 | 825, 451, 671, 610, 312 |
3 | 825, 451, 671, 305, 156 |
5 | 275, 451, 671, 305, 52 |
11 | 55, 451, 671, 61, 52 |
61 | 5, 41, 61, 61, 52 |
5, 41, 1, 1, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 61 x 5 x 41 x 1 x 1 x 52 = 214585800
Therefore, the lowest common multiple of 825,451,671,610,312 is 214585800.
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.
825 x 451 x 671 x 610 x 312 = 47515733694000
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
451 : 1, 11, 41, 451
671 : 1, 11, 61, 671
610 : 1, 2, 5, 10, 61, 122, 305, 610
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,451,671,610,312, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
451:11x 41
671:11x 61
610:2x 5x 61
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 3x 5x 11x 11x 61 = 221430
Therefore, the value for common factors is 221430.
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 = 47515733694000/(1x221430)
LCM = 47515733694000/221430
LCM = 214585800
Thus, we can understand that the LCM of 825,451,671,610,312 is 214585800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 825, 451, 671, 610, 312?
Answer: LCM of 825, 451, 671, 610, 312 is 214585800.
2. How to calculate the LCM of 825, 451, 671, 610, 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 825, 451, 671, 610, 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}.