LCM of 806, 434, 824, 744, 404
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 806, 434, 824, 744, 404 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 806, 434, 824, 744, 404. So, keep reading to learn more.
Given numbers are 806,434,824,744,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,434,824,744,404 is 704324712.
Find LCM of 806,434,824,744,404 with Prime Factorization
| 2 | 806, 434, 824, 744, 404 |
| 2 | 403, 217, 412, 372, 202 |
| 2 | 403, 217, 206, 186, 101 |
| 31 | 403, 217, 103, 93, 101 |
| 13, 7, 103, 3, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 31 x 13 x 7 x 103 x 3 x 101 = 704324712
Therefore, the lowest common multiple of 806,434,824,744,404 is 704324712.
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.
806 x 434 x 824 x 744 x 404 = 86637574173696
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.
806 : 1, 2, 13, 26, 31, 62, 403, 806
434 : 1, 2, 7, 14, 31, 62, 217, 434
824 : 1, 2, 4, 8, 103, 206, 412, 824
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
404 : 1, 2, 4, 101, 202, 404
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,434,824,744,404, is 2.
Now, the common factors can be found like this.
806:2x 13x 31
434:2x 7x 31
824:2x 2x 2x 103
744:2x 2x 2x 3x 31
404:2x 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 2x 2x 2x 2x 31x 31 = 61504
Therefore, the value for common factors is 61504.
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 = 86637574173696/(2x61504)
LCM = 86637574173696/123008
LCM = 704324712
Thus, we can understand that the LCM of 806,434,824,744,404 is 704324712.
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FAQs on LCM of 806, 434, 824, 744, 404
1. What is the LCM of 806, 434, 824, 744, 404?
Answer: LCM of 806, 434, 824, 744, 404 is 704324712.
2. How to calculate the LCM of 806, 434, 824, 744, 404?
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 806, 434, 824, 744, 404.
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}.