LCM of 880, 390, 610, 814, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 880, 390, 610, 814, 728 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 880, 390, 610, 814, 728. So, keep reading to learn more.
Given numbers are 880,390,610,814,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,390,610,814,728 is 542221680.
Find LCM of 880,390,610,814,728 with Prime Factorization
| 2 | 880, 390, 610, 814, 728 |
| 2 | 440, 195, 305, 407, 364 |
| 2 | 220, 195, 305, 407, 182 |
| 5 | 110, 195, 305, 407, 91 |
| 11 | 22, 39, 61, 407, 91 |
| 13 | 2, 39, 61, 37, 91 |
| 2, 3, 61, 37, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 13 x 2 x 3 x 61 x 37 x 7 = 542221680
Therefore, the lowest common multiple of 880,390,610,814,728 is 542221680.
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.
880 x 390 x 610 x 814 x 728 = 124060320384000
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.
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
610 : 1, 2, 5, 10, 61, 122, 305, 610
814 : 1, 2, 11, 22, 37, 74, 407, 814
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,390,610,814,728, is 2.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
390:2x 3x 5x 13
610:2x 5x 61
814:2x 11x 37
728:2x 2x 2x 7x 13
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 5x 5x 11x 13 = 114400
Therefore, the value for common factors is 114400.
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 = 124060320384000/(2x114400)
LCM = 124060320384000/228800
LCM = 542221680
Thus, we can understand that the LCM of 880,390,610,814,728 is 542221680.
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FAQs on LCM of 880, 390, 610, 814, 728
1. What is the LCM of 880, 390, 610, 814, 728?
Answer: LCM of 880, 390, 610, 814, 728 is 542221680.
2. How to calculate the LCM of 880, 390, 610, 814, 728?
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 880, 390, 610, 814, 728.
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}.