Find the LCM of 884, 456, 901, 437, 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 884, 456, 901, 437, 684. So, keep reading to learn more.
Given numbers are 884,456,901,437,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,456,901,437,684 is 368537832.
Find LCM of 884,456,901,437,684 with Prime Factorization
2 | 884, 456, 901, 437, 684 |
2 | 442, 228, 901, 437, 342 |
3 | 221, 114, 901, 437, 171 |
17 | 221, 38, 901, 437, 57 |
19 | 13, 38, 53, 437, 57 |
13, 2, 53, 23, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 19 x 13 x 2 x 53 x 23 x 3 = 368537832
Therefore, the lowest common multiple of 884,456,901,437,684 is 368537832.
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.
884 x 456 x 901 x 437 x 684 = 108562400399232
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
901 : 1, 17, 53, 901
437 : 1, 19, 23, 437
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 884,456,901,437,684, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
456:2x 2x 2x 3x 19
901:17x 53
437:19x 23
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 3x 17x 19x 19 = 294576
Therefore, the value for common factors is 294576.
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 = 108562400399232/(1x294576)
LCM = 108562400399232/294576
LCM = 368537832
Thus, we can understand that the LCM of 884,456,901,437,684 is 368537832.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 884, 456, 901, 437, 684?
Answer: LCM of 884, 456, 901, 437, 684 is 368537832.
2. How to calculate the LCM of 884, 456, 901, 437, 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 884, 456, 901, 437, 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}.