LCM of 489, 910, 988, 407, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 489, 910, 988, 407, 741 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, 910, 988, 407, 741. So, keep reading to learn more.
Given numbers are 489,910,988,407,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,910,988,407,741 is 6882215340.
Find LCM of 489,910,988,407,741 with Prime Factorization
| 2 | 489, 910, 988, 407, 741 |
| 3 | 489, 455, 494, 407, 741 |
| 13 | 163, 455, 494, 407, 247 |
| 19 | 163, 35, 38, 407, 19 |
| 163, 35, 2, 407, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 19 x 163 x 35 x 2 x 407 x 1 = 6882215340
Therefore, the lowest common multiple of 489,910,988,407,741 is 6882215340.
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 910 x 988 x 407 x 741 = 132592760740440
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
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
407 : 1, 11, 37, 407
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,910,988,407,741, is 1.
Now, the common factors can be found like this.
489:3x 163
910:2x 5x 7x 13
988:2x 2x 13x 19
407:11x 37
741:3x 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.
2x 3x 13x 13x 19 = 19266
Therefore, the value for common factors is 19266.
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 = 132592760740440/(1x19266)
LCM = 132592760740440/19266
LCM = 6882215340
Thus, we can understand that the LCM of 489,910,988,407,741 is 6882215340.
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FAQs on LCM of 489, 910, 988, 407, 741
1. What is the LCM of 489, 910, 988, 407, 741?
Answer: LCM of 489, 910, 988, 407, 741 is 6882215340.
2. How to calculate the LCM of 489, 910, 988, 407, 741?
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, 910, 988, 407, 741.
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}.