LCM of 598, 980, 989, 125, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 980, 989, 125, 288 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, 980, 989, 125, 288. So, keep reading to learn more.
Given numbers are 598,980,989,125,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,980,989,125,288 is 22679748000.
Find LCM of 598,980,989,125,288 with Prime Factorization
| 2 | 598, 980, 989, 125, 288 |
| 2 | 299, 490, 989, 125, 144 |
| 5 | 299, 245, 989, 125, 72 |
| 23 | 299, 49, 989, 25, 72 |
| 13, 49, 43, 25, 72 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 13 x 49 x 43 x 25 x 72 = 22679748000
Therefore, the lowest common multiple of 598,980,989,125,288 is 22679748000.
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 980 x 989 x 125 x 288 = 20865368160000
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
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
989 : 1, 23, 43, 989
125 : 1, 5, 25, 125
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,980,989,125,288, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
980:2x 2x 5x 7x 7
989:23x 43
125:5x 5x 5
288:2x 2x 2x 2x 2x 3x 3
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 5x 23 = 920
Therefore, the value for common factors is 920.
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 = 20865368160000/(1x920)
LCM = 20865368160000/920
LCM = 22679748000
Thus, we can understand that the LCM of 598,980,989,125,288 is 22679748000.
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FAQs on LCM of 598, 980, 989, 125, 288
1. What is the LCM of 598, 980, 989, 125, 288?
Answer: LCM of 598, 980, 989, 125, 288 is 22679748000.
2. How to calculate the LCM of 598, 980, 989, 125, 288?
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, 980, 989, 125, 288.
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}.