Find the LCM of 989, 418, 596, 707, 338 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 989, 418, 596, 707, 338. So, keep reading to learn more.
Given numbers are 989,418,596,707,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,418,596,707,338 is 14719564327468.
Find LCM of 989,418,596,707,338 with Prime Factorization
2 | 989, 418, 596, 707, 338 |
989, 209, 298, 707, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 989 x 209 x 298 x 707 x 169 = 14719564327468
Therefore, the lowest common multiple of 989,418,596,707,338 is 14719564327468.
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.
989 x 418 x 596 x 707 x 338 = 58878257309872
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.
989 : 1, 23, 43, 989
418 : 1, 2, 11, 19, 22, 38, 209, 418
596 : 1, 2, 4, 149, 298, 596
707 : 1, 7, 101, 707
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,418,596,707,338, is 1.
Now, the common factors can be found like this.
989:23x 43
418:2x 11x 19
596:2x 2x 149
707:7x 101
338:2x 13x 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 2 = 4
Therefore, the value for common factors is 4.
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 = 58878257309872/(1x4)
LCM = 58878257309872/4
LCM = 14719564327468
Thus, we can understand that the LCM of 989,418,596,707,338 is 14719564327468.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 989, 418, 596, 707, 338?
Answer: LCM of 989, 418, 596, 707, 338 is 14719564327468.
2. How to calculate the LCM of 989, 418, 596, 707, 338?
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 989, 418, 596, 707, 338.
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}.