Find the LCM of 110, 689, 583, 364 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 110, 689, 583, 364. So, keep reading to learn more.
Given numbers are 110,689,583,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,689,583,364 is 1061060.
Find LCM of 110,689,583,364 with Prime Factorization
2 | 110, 689, 583, 364 |
11 | 55, 689, 583, 182 |
13 | 5, 689, 53, 182 |
53 | 5, 53, 53, 14 |
5, 1, 1, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 53 x 5 x 1 x 1 x 14 = 1061060
Therefore, the lowest common multiple of 110,689,583,364 is 1061060.
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.
110 x 689 x 583 x 364 = 16083547480
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
689 : 1, 13, 53, 689
583 : 1, 11, 53, 583
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,689,583,364, is 1.
Now, the common factors can be found like this.
110:2x 5x 11
689:13x 53
583:11x 53
364:2x 2x 7x 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 11x 13x 53 = 15158
Therefore, the value for common factors is 15158.
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 = 16083547480/(1x15158)
LCM = 16083547480/15158
LCM = 1061060
Thus, we can understand that the LCM of 110,689,583,364 is 1061060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 110, 689, 583, 364?
Answer: LCM of 110, 689, 583, 364 is 1061060.
2. How to calculate the LCM of 110, 689, 583, 364?
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 110, 689, 583, 364.
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}.