LCM of 808, 896, 402, 653, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 896, 402, 653, 686 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, 896, 402, 653, 686. So, keep reading to learn more.
Given numbers are 808,896,402,653,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,896,402,653,686 is 582015702912.
Find LCM of 808,896,402,653,686 with Prime Factorization
| 2 | 808, 896, 402, 653, 686 |
| 2 | 404, 448, 201, 653, 343 |
| 2 | 202, 224, 201, 653, 343 |
| 7 | 101, 112, 201, 653, 343 |
| 101, 16, 201, 653, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 101 x 16 x 201 x 653 x 49 = 582015702912
Therefore, the lowest common multiple of 808,896,402,653,686 is 582015702912.
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 896 x 402 x 653 x 686 = 130371517452288
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
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
402 : 1, 2, 3, 6, 67, 134, 201, 402
653 : 1, 653
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,896,402,653,686, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
896:2x 2x 2x 2x 2x 2x 2x 7
402:2x 3x 67
653:653
686:2x 7x 7x 7
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 7 = 224
Therefore, the value for common factors is 224.
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 = 130371517452288/(1x224)
LCM = 130371517452288/224
LCM = 582015702912
Thus, we can understand that the LCM of 808,896,402,653,686 is 582015702912.
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FAQs on LCM of 808, 896, 402, 653, 686
1. What is the LCM of 808, 896, 402, 653, 686?
Answer: LCM of 808, 896, 402, 653, 686 is 582015702912.
2. How to calculate the LCM of 808, 896, 402, 653, 686?
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, 896, 402, 653, 686.
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}.