LCM of 377, 606, 431, 702, 808
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 606, 431, 702, 808 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 377, 606, 431, 702, 808. So, keep reading to learn more.
Given numbers are 377,606,431,702,808
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,606,431,702,808 is 3544816392.
Find LCM of 377,606,431,702,808 with Prime Factorization
| 2 | 377, 606, 431, 702, 808 |
| 3 | 377, 303, 431, 351, 404 |
| 13 | 377, 101, 431, 117, 404 |
| 101 | 29, 101, 431, 9, 404 |
| 29, 1, 431, 9, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 101 x 29 x 1 x 431 x 9 x 4 = 3544816392
Therefore, the lowest common multiple of 377,606,431,702,808 is 3544816392.
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.
377 x 606 x 431 x 702 x 808 = 55852127072352
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.
377 : 1, 13, 29, 377
606 : 1, 2, 3, 6, 101, 202, 303, 606
431 : 1, 431
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
808 : 1, 2, 4, 8, 101, 202, 404, 808
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,606,431,702,808, is 1.
Now, the common factors can be found like this.
377:13x 29
606:2x 3x 101
431:431
702:2x 3x 3x 3x 13
808:2x 2x 2x 101
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 3x 13x 101 = 15756
Therefore, the value for common factors is 15756.
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 = 55852127072352/(1x15756)
LCM = 55852127072352/15756
LCM = 3544816392
Thus, we can understand that the LCM of 377,606,431,702,808 is 3544816392.
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FAQs on LCM of 377, 606, 431, 702, 808
1. What is the LCM of 377, 606, 431, 702, 808?
Answer: LCM of 377, 606, 431, 702, 808 is 3544816392.
2. How to calculate the LCM of 377, 606, 431, 702, 808?
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 377, 606, 431, 702, 808.
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}.