LCM of 715, 294, 838, 738, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 294, 838, 738, 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 715, 294, 838, 738, 810. So, keep reading to learn more.
Given numbers are 715,294,838,738,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,294,838,738,810 is 97502334930.
Find LCM of 715,294,838,738,810 with Prime Factorization
| 2 | 715, 294, 838, 738, 810 |
| 3 | 715, 147, 419, 369, 405 |
| 3 | 715, 49, 419, 123, 135 |
| 5 | 715, 49, 419, 41, 45 |
| 143, 49, 419, 41, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 143 x 49 x 419 x 41 x 9 = 97502334930
Therefore, the lowest common multiple of 715,294,838,738,810 is 97502334930.
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.
715 x 294 x 838 x 738 x 810 = 105302521724400
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
838 : 1, 2, 419, 838
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
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 715,294,838,738,810, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
294:2x 3x 7x 7
838:2x 419
738:2x 3x 3x 41
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 2x 2x 3x 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 105302521724400/(1x1080)
LCM = 105302521724400/1080
LCM = 97502334930
Thus, we can understand that the LCM of 715,294,838,738,810 is 97502334930.
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FAQs on LCM of 715, 294, 838, 738, 810
1. What is the LCM of 715, 294, 838, 738, 810?
Answer: LCM of 715, 294, 838, 738, 810 is 97502334930.
2. How to calculate the LCM of 715, 294, 838, 738, 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 715, 294, 838, 738, 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}.