Find the LCM of 684, 814, 264, 583 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 684, 814, 264, 583. So, keep reading to learn more.
Given numbers are 684,814,264,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,814,264,583 is 29509128.
Find LCM of 684,814,264,583 with Prime Factorization
2 | 684, 814, 264, 583 |
2 | 342, 407, 132, 583 |
3 | 171, 407, 66, 583 |
11 | 57, 407, 22, 583 |
57, 37, 2, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 57 x 37 x 2 x 53 = 29509128
Therefore, the lowest common multiple of 684,814,264,583 is 29509128.
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.
684 x 814 x 264 x 583 = 85694507712
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
814 : 1, 2, 11, 22, 37, 74, 407, 814
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,814,264,583, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
814:2x 11x 37
264:2x 2x 2x 3x 11
583:11x 53
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 3x 11x 11 = 2904
Therefore, the value for common factors is 2904.
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 = 85694507712/(1x2904)
LCM = 85694507712/2904
LCM = 29509128
Thus, we can understand that the LCM of 684,814,264,583 is 29509128.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 684, 814, 264, 583?
Answer: LCM of 684, 814, 264, 583 is 29509128.
2. How to calculate the LCM of 684, 814, 264, 583?
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 684, 814, 264, 583.
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}.