LCM of 440, 808, 955, 978, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 440, 808, 955, 978, 580 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 440, 808, 955, 978, 580. So, keep reading to learn more.
Given numbers are 440,808,955,978,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 440,808,955,978,580 is 120368895240.
Find LCM of 440,808,955,978,580 with Prime Factorization
| 2 | 440, 808, 955, 978, 580 |
| 2 | 220, 404, 955, 489, 290 |
| 2 | 110, 202, 955, 489, 145 |
| 5 | 55, 101, 955, 489, 145 |
| 11, 101, 191, 489, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 101 x 191 x 489 x 29 = 120368895240
Therefore, the lowest common multiple of 440,808,955,978,580 is 120368895240.
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.
440 x 808 x 955 x 978 x 580 = 192590232384000
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.
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
808 : 1, 2, 4, 8, 101, 202, 404, 808
955 : 1, 5, 191, 955
978 : 1, 2, 3, 6, 163, 326, 489, 978
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,808,955,978,580, is 1.
Now, the common factors can be found like this.
440:2x 2x 2x 5x 11
808:2x 2x 2x 101
955:5x 191
978:2x 3x 163
580:2x 2x 5x 29
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 2x 2x 5x 5 = 1600
Therefore, the value for common factors is 1600.
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 = 192590232384000/(1x1600)
LCM = 192590232384000/1600
LCM = 120368895240
Thus, we can understand that the LCM of 440,808,955,978,580 is 120368895240.
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FAQs on LCM of 440, 808, 955, 978, 580
1. What is the LCM of 440, 808, 955, 978, 580?
Answer: LCM of 440, 808, 955, 978, 580 is 120368895240.
2. How to calculate the LCM of 440, 808, 955, 978, 580?
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 440, 808, 955, 978, 580.
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}.