LCM of 447, 986, 918, 580, 502
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 447, 986, 918, 580, 502 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 447, 986, 918, 580, 502. So, keep reading to learn more.
Given numbers are 447,986,918,580,502
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,986,918,580,502 is 9956361780.
Find LCM of 447,986,918,580,502 with Prime Factorization
| 2 | 447, 986, 918, 580, 502 |
| 3 | 447, 493, 459, 290, 251 |
| 17 | 149, 493, 153, 290, 251 |
| 29 | 149, 29, 9, 290, 251 |
| 149, 1, 9, 10, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 29 x 149 x 1 x 9 x 10 x 251 = 9956361780
Therefore, the lowest common multiple of 447,986,918,580,502 is 9956361780.
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.
447 x 986 x 918 x 580 x 502 = 117803672580960
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.
447 : 1, 3, 149, 447
986 : 1, 2, 17, 29, 34, 58, 493, 986
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
502 : 1, 2, 251, 502
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,986,918,580,502, is 1.
Now, the common factors can be found like this.
447:3x 149
986:2x 17x 29
918:2x 3x 3x 3x 17
580:2x 2x 5x 29
502:2x 251
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 17x 29 = 11832
Therefore, the value for common factors is 11832.
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 = 117803672580960/(1x11832)
LCM = 117803672580960/11832
LCM = 9956361780
Thus, we can understand that the LCM of 447,986,918,580,502 is 9956361780.
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FAQs on LCM of 447, 986, 918, 580, 502
1. What is the LCM of 447, 986, 918, 580, 502?
Answer: LCM of 447, 986, 918, 580, 502 is 9956361780.
2. How to calculate the LCM of 447, 986, 918, 580, 502?
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 447, 986, 918, 580, 502.
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}.