LCM of 304, 187, 630, 715, 806
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 187, 630, 715, 806 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 304, 187, 630, 715, 806. So, keep reading to learn more.
Given numbers are 304,187,630,715,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,187,630,715,806 is 7216569360.
Find LCM of 304,187,630,715,806 with Prime Factorization
| 2 | 304, 187, 630, 715, 806 |
| 5 | 152, 187, 315, 715, 403 |
| 11 | 152, 187, 63, 143, 403 |
| 13 | 152, 17, 63, 13, 403 |
| 152, 17, 63, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 13 x 152 x 17 x 63 x 1 x 31 = 7216569360
Therefore, the lowest common multiple of 304,187,630,715,806 is 7216569360.
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.
304 x 187 x 630 x 715 x 806 = 20639388369600
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
187 : 1, 11, 17, 187
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
715 : 1, 5, 11, 13, 55, 65, 143, 715
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,187,630,715,806, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
187:11x 17
630:2x 3x 3x 5x 7
715:5x 11x 13
806:2x 13x 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 5x 11x 13 = 2860
Therefore, the value for common factors is 2860.
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 = 20639388369600/(1x2860)
LCM = 20639388369600/2860
LCM = 7216569360
Thus, we can understand that the LCM of 304,187,630,715,806 is 7216569360.
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FAQs on LCM of 304, 187, 630, 715, 806
1. What is the LCM of 304, 187, 630, 715, 806?
Answer: LCM of 304, 187, 630, 715, 806 is 7216569360.
2. How to calculate the LCM of 304, 187, 630, 715, 806?
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 304, 187, 630, 715, 806.
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}.