LCM of 630, 389, 737, 855, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 389, 737, 855, 810 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 630, 389, 737, 855, 810. So, keep reading to learn more.
Given numbers are 630,389,737,855,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,389,737,855,810 is 30885436890.
Find LCM of 630,389,737,855,810 with Prime Factorization
| 2 | 630, 389, 737, 855, 810 |
| 3 | 315, 389, 737, 855, 405 |
| 3 | 105, 389, 737, 285, 135 |
| 5 | 35, 389, 737, 95, 45 |
| 7, 389, 737, 19, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 389 x 737 x 19 x 9 = 30885436890
Therefore, the lowest common multiple of 630,389,737,855,810 is 30885436890.
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.
630 x 389 x 737 x 855 x 810 = 125086019404500
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.
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
389 : 1, 389
737 : 1, 11, 67, 737
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,389,737,855,810, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
389:389
737:11x 67
855:3x 3x 5x 19
810:2x 3x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 5x 5 = 4050
Therefore, the value for common factors is 4050.
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 = 125086019404500/(1x4050)
LCM = 125086019404500/4050
LCM = 30885436890
Thus, we can understand that the LCM of 630,389,737,855,810 is 30885436890.
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FAQs on LCM of 630, 389, 737, 855, 810
1. What is the LCM of 630, 389, 737, 855, 810?
Answer: LCM of 630, 389, 737, 855, 810 is 30885436890.
2. How to calculate the LCM of 630, 389, 737, 855, 810?
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 630, 389, 737, 855, 810.
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}.