LCM of 489, 876, 949, 986, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 489, 876, 949, 986, 788 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 489, 876, 949, 986, 788. So, keep reading to learn more.
Given numbers are 489,876,949,986,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,876,949,986,788 is 180280273524.
Find LCM of 489,876,949,986,788 with Prime Factorization
| 2 | 489, 876, 949, 986, 788 |
| 2 | 489, 438, 949, 493, 394 |
| 3 | 489, 219, 949, 493, 197 |
| 73 | 163, 73, 949, 493, 197 |
| 163, 1, 13, 493, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 73 x 163 x 1 x 13 x 493 x 197 = 180280273524
Therefore, the lowest common multiple of 489,876,949,986,788 is 180280273524.
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.
489 x 876 x 949 x 986 x 788 = 315851039214048
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.
489 : 1, 3, 163, 489
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
949 : 1, 13, 73, 949
986 : 1, 2, 17, 29, 34, 58, 493, 986
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,876,949,986,788, is 1.
Now, the common factors can be found like this.
489:3x 163
876:2x 2x 3x 73
949:13x 73
986:2x 17x 29
788:2x 2x 197
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 3x 73 = 1752
Therefore, the value for common factors is 1752.
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 = 315851039214048/(1x1752)
LCM = 315851039214048/1752
LCM = 180280273524
Thus, we can understand that the LCM of 489,876,949,986,788 is 180280273524.
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FAQs on LCM of 489, 876, 949, 986, 788
1. What is the LCM of 489, 876, 949, 986, 788?
Answer: LCM of 489, 876, 949, 986, 788 is 180280273524.
2. How to calculate the LCM of 489, 876, 949, 986, 788?
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 489, 876, 949, 986, 788.
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}.