LCM of 290, 986, 614, 580, 472
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 290, 986, 614, 580, 472 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 290, 986, 614, 580, 472. So, keep reading to learn more.
Given numbers are 290,986,614,580,472
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 290,986,614,580,472 is 357188360.
Find LCM of 290,986,614,580,472 with Prime Factorization
| 2 | 290, 986, 614, 580, 472 |
| 2 | 145, 493, 307, 290, 236 |
| 5 | 145, 493, 307, 145, 118 |
| 29 | 29, 493, 307, 29, 118 |
| 1, 17, 307, 1, 118 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 29 x 1 x 17 x 307 x 1 x 118 = 357188360
Therefore, the lowest common multiple of 290,986,614,580,472 is 357188360.
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.
290 x 986 x 614 x 580 x 472 = 48063265721600
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.
290 : 1, 2, 5, 10, 29, 58, 145, 290
986 : 1, 2, 17, 29, 34, 58, 493, 986
614 : 1, 2, 307, 614
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
472 : 1, 2, 4, 8, 59, 118, 236, 472
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,986,614,580,472, is 2.
Now, the common factors can be found like this.
290:2x 5x 29
986:2x 17x 29
614:2x 307
580:2x 2x 5x 29
472:2x 2x 2x 59
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 2x 5x 29x 29 = 67280
Therefore, the value for common factors is 67280.
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 = 48063265721600/(2x67280)
LCM = 48063265721600/134560
LCM = 357188360
Thus, we can understand that the LCM of 290,986,614,580,472 is 357188360.
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FAQs on LCM of 290, 986, 614, 580, 472
1. What is the LCM of 290, 986, 614, 580, 472?
Answer: LCM of 290, 986, 614, 580, 472 is 357188360.
2. How to calculate the LCM of 290, 986, 614, 580, 472?
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 290, 986, 614, 580, 472.
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}.