Find the LCM of 598, 986, 277, 554, 372 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, 986, 277, 554, 372. So, keep reading to learn more.
Given numbers are 598,986,277,554,372
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,986,277,554,372 is 15189406908.
Find LCM of 598,986,277,554,372 with Prime Factorization
2 | 598, 986, 277, 554, 372 |
277 | 299, 493, 277, 277, 186 |
299, 493, 1, 1, 186 |
Multiply the prime numbers at the bottom and the left side.
2 x 277 x 299 x 493 x 1 x 1 x 186 = 15189406908
Therefore, the lowest common multiple of 598,986,277,554,372 is 15189406908.
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 986 x 277 x 554 x 372 = 33659725708128
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
986 : 1, 2, 17, 29, 34, 58, 493, 986
277 : 1, 277
554 : 1, 2, 277, 554
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,986,277,554,372, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
986:2x 17x 29
277:277
554:2x 277
372:2x 2x 3x 31
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 277 = 2216
Therefore, the value for common factors is 2216.
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 = 33659725708128/(1x2216)
LCM = 33659725708128/2216
LCM = 15189406908
Thus, we can understand that the LCM of 598,986,277,554,372 is 15189406908.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 986, 277, 554, 372?
Answer: LCM of 598, 986, 277, 554, 372 is 15189406908.
2. How to calculate the LCM of 598, 986, 277, 554, 372?
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, 986, 277, 554, 372.
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}.