Find the LCM of 900, 452, 336, 829, 684 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 900, 452, 336, 829, 684. So, keep reading to learn more.
Given numbers are 900,452,336,829,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,452,336,829,684 is 44852547600.
Find LCM of 900,452,336,829,684 with Prime Factorization
2 | 900, 452, 336, 829, 684 |
2 | 450, 226, 168, 829, 342 |
3 | 225, 113, 84, 829, 171 |
3 | 75, 113, 28, 829, 57 |
25, 113, 28, 829, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 25 x 113 x 28 x 829 x 19 = 44852547600
Therefore, the lowest common multiple of 900,452,336,829,684 is 44852547600.
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.
900 x 452 x 336 x 829 x 684 = 77505202252800
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.
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
452 : 1, 2, 4, 113, 226, 452
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
829 : 1, 829
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,452,336,829,684, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
452:2x 2x 113
336:2x 2x 2x 2x 3x 7
829:829
684:2x 2x 3x 3x 19
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 3 = 1728
Therefore, the value for common factors is 1728.
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 = 77505202252800/(1x1728)
LCM = 77505202252800/1728
LCM = 44852547600
Thus, we can understand that the LCM of 900,452,336,829,684 is 44852547600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 900, 452, 336, 829, 684?
Answer: LCM of 900, 452, 336, 829, 684 is 44852547600.
2. How to calculate the LCM of 900, 452, 336, 829, 684?
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 900, 452, 336, 829, 684.
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}.