Find the LCM of 880, 556, 115, 220, 598 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 880, 556, 115, 220, 598. So, keep reading to learn more.
Given numbers are 880,556,115,220,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,556,115,220,598 is 36573680.
Find LCM of 880,556,115,220,598 with Prime Factorization
2 | 880, 556, 115, 220, 598 |
2 | 440, 278, 115, 110, 299 |
5 | 220, 139, 115, 55, 299 |
11 | 44, 139, 23, 11, 299 |
23 | 4, 139, 23, 1, 299 |
4, 139, 1, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 23 x 4 x 139 x 1 x 1 x 13 = 36573680
Therefore, the lowest common multiple of 880,556,115,220,598 is 36573680.
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.
880 x 556 x 115 x 220 x 598 = 7402512832000
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.
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
556 : 1, 2, 4, 139, 278, 556
115 : 1, 5, 23, 115
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,556,115,220,598, is 1.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
556:2x 2x 139
115:5x 23
220:2x 2x 5x 11
598:2x 13x 23
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 5x 5x 11x 23 = 202400
Therefore, the value for common factors is 202400.
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 = 7402512832000/(1x202400)
LCM = 7402512832000/202400
LCM = 36573680
Thus, we can understand that the LCM of 880,556,115,220,598 is 36573680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 880, 556, 115, 220, 598?
Answer: LCM of 880, 556, 115, 220, 598 is 36573680.
2. How to calculate the LCM of 880, 556, 115, 220, 598?
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 880, 556, 115, 220, 598.
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}.