LCM of 808, 107, 610, 332, 496
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 107, 610, 332, 496 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 808, 107, 610, 332, 496. So, keep reading to learn more.
Given numbers are 808,107,610,332,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,107,610,332,496 is 135695285680.
Find LCM of 808,107,610,332,496 with Prime Factorization
| 2 | 808, 107, 610, 332, 496 |
| 2 | 404, 107, 305, 166, 248 |
| 2 | 202, 107, 305, 83, 124 |
| 101, 107, 305, 83, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 101 x 107 x 305 x 83 x 62 = 135695285680
Therefore, the lowest common multiple of 808,107,610,332,496 is 135695285680.
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.
808 x 107 x 610 x 332 x 496 = 8684498283520
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
107 : 1, 107
610 : 1, 2, 5, 10, 61, 122, 305, 610
332 : 1, 2, 4, 83, 166, 332
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,107,610,332,496, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
107:107
610:2x 5x 61
332:2x 2x 83
496:2x 2x 2x 2x 31
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 2 = 64
Therefore, the value for common factors is 64.
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 = 8684498283520/(1x64)
LCM = 8684498283520/64
LCM = 135695285680
Thus, we can understand that the LCM of 808,107,610,332,496 is 135695285680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 808, 107, 610, 332, 496
1. What is the LCM of 808, 107, 610, 332, 496?
Answer: LCM of 808, 107, 610, 332, 496 is 135695285680.
2. How to calculate the LCM of 808, 107, 610, 332, 496?
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 808, 107, 610, 332, 496.
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}.