LCM of 285, 489, 953, 845, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 285, 489, 953, 845, 988 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 285, 489, 953, 845, 988. So, keep reading to learn more.
Given numbers are 285,489,953,845,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 285,489,953,845,988 is 29927611740.
Find LCM of 285,489,953,845,988 with Prime Factorization
| 3 | 285, 489, 953, 845, 988 |
| 5 | 95, 163, 953, 845, 988 |
| 13 | 19, 163, 953, 169, 988 |
| 19 | 19, 163, 953, 13, 76 |
| 1, 163, 953, 13, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 19 x 1 x 163 x 953 x 13 x 4 = 29927611740
Therefore, the lowest common multiple of 285,489,953,845,988 is 29927611740.
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.
285 x 489 x 953 x 845 x 988 = 110881801496700
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.
285 : 1, 3, 5, 15, 19, 57, 95, 285
489 : 1, 3, 163, 489
953 : 1, 953
845 : 1, 5, 13, 65, 169, 845
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,489,953,845,988, is 1.
Now, the common factors can be found like this.
285:3x 5x 19
489:3x 163
953:953
845:5x 13x 13
988:2x 2x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 13x 19 = 3705
Therefore, the value for common factors is 3705.
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 = 110881801496700/(1x3705)
LCM = 110881801496700/3705
LCM = 29927611740
Thus, we can understand that the LCM of 285,489,953,845,988 is 29927611740.
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FAQs on LCM of 285, 489, 953, 845, 988
1. What is the LCM of 285, 489, 953, 845, 988?
Answer: LCM of 285, 489, 953, 845, 988 is 29927611740.
2. How to calculate the LCM of 285, 489, 953, 845, 988?
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 285, 489, 953, 845, 988.
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}.