Find the LCM of 598, 888, 493, 400, 697 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 598, 888, 493, 400, 697. So, keep reading to learn more.
Given numbers are 598,888,493,400,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,888,493,400,697 is 268339702800.
Find LCM of 598,888,493,400,697 with Prime Factorization
2 | 598, 888, 493, 400, 697 |
2 | 299, 444, 493, 200, 697 |
2 | 299, 222, 493, 100, 697 |
17 | 299, 111, 493, 50, 697 |
299, 111, 29, 50, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 299 x 111 x 29 x 50 x 41 = 268339702800
Therefore, the lowest common multiple of 598,888,493,400,697 is 268339702800.
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.
598 x 888 x 493 x 400 x 697 = 72988399161600
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
493 : 1, 17, 29, 493
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,888,493,400,697, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
888:2x 2x 2x 3x 37
493:17x 29
400:2x 2x 2x 2x 5x 5
697:17x 41
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 17 = 272
Therefore, the value for common factors is 272.
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 = 72988399161600/(1x272)
LCM = 72988399161600/272
LCM = 268339702800
Thus, we can understand that the LCM of 598,888,493,400,697 is 268339702800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 888, 493, 400, 697?
Answer: LCM of 598, 888, 493, 400, 697 is 268339702800.
2. How to calculate the LCM of 598, 888, 493, 400, 697?
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 598, 888, 493, 400, 697.
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}.