Find the LCM of 553, 395, 537, 586 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 553, 395, 537, 586. So, keep reading to learn more.
Given numbers are 553,395,537,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 553,395,537,586 is 870095730.
Find LCM of 553,395,537,586 with Prime Factorization
79 | 553, 395, 537, 586 |
7, 5, 537, 586 |
Multiply the prime numbers at the bottom and the left side.
79 x 7 x 5 x 537 x 586 = 870095730
Therefore, the lowest common multiple of 553,395,537,586 is 870095730.
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.
553 x 395 x 537 x 586 = 68737562670
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.
553 : 1, 7, 79, 553
395 : 1, 5, 79, 395
537 : 1, 3, 179, 537
586 : 1, 2, 293, 586
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,395,537,586, is 1.
Now, the common factors can be found like this.
553:7x 79
395:5x 79
537:3x 179
586:2x 293
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
79 = 79
Therefore, the value for common factors is 79.
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 = 68737562670/(1x79)
LCM = 68737562670/79
LCM = 870095730
Thus, we can understand that the LCM of 553,395,537,586 is 870095730.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 553, 395, 537, 586?
Answer: LCM of 553, 395, 537, 586 is 870095730.
2. How to calculate the LCM of 553, 395, 537, 586?
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 553, 395, 537, 586.
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}.