LCM of 989, 459, 748, 352, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 459, 748, 352, 309 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, 459, 748, 352, 309. So, keep reading to learn more.
Given numbers are 989,459,748,352,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,459,748,352,309 is 16458447456.
Find LCM of 989,459,748,352,309 with Prime Factorization
| 2 | 989, 459, 748, 352, 309 |
| 2 | 989, 459, 374, 176, 309 |
| 3 | 989, 459, 187, 88, 309 |
| 11 | 989, 153, 187, 88, 103 |
| 17 | 989, 153, 17, 8, 103 |
| 989, 9, 1, 8, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 989 x 9 x 1 x 8 x 103 = 16458447456
Therefore, the lowest common multiple of 989,459,748,352,309 is 16458447456.
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 459 x 748 x 352 x 309 = 36932756091264
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
459 : 1, 3, 9, 17, 27, 51, 153, 459
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,459,748,352,309, is 1.
Now, the common factors can be found like this.
989:23x 43
459:3x 3x 3x 17
748:2x 2x 11x 17
352:2x 2x 2x 2x 2x 11
309:3x 103
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 3x 11x 17 = 2244
Therefore, the value for common factors is 2244.
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 = 36932756091264/(1x2244)
LCM = 36932756091264/2244
LCM = 16458447456
Thus, we can understand that the LCM of 989,459,748,352,309 is 16458447456.
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FAQs on LCM of 989, 459, 748, 352, 309
1. What is the LCM of 989, 459, 748, 352, 309?
Answer: LCM of 989, 459, 748, 352, 309 is 16458447456.
2. How to calculate the LCM of 989, 459, 748, 352, 309?
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, 459, 748, 352, 309.
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}.