LCM of 810, 678, 368, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 678, 368, 738 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 810, 678, 368, 738. So, keep reading to learn more.
Given numbers are 810,678,368,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,678,368,738 is 690502320.
Find LCM of 810,678,368,738 with Prime Factorization
| 2 | 810, 678, 368, 738 |
| 3 | 405, 339, 184, 369 |
| 3 | 135, 113, 184, 123 |
| 45, 113, 184, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 45 x 113 x 184 x 41 = 690502320
Therefore, the lowest common multiple of 810,678,368,738 is 690502320.
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.
810 x 678 x 368 x 738 = 149148501120
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
678 : 1, 2, 3, 6, 113, 226, 339, 678
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,678,368,738, is 2.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
678:2x 3x 113
368:2x 2x 2x 2x 23
738:2x 3x 3x 41
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 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 149148501120/(2x108)
LCM = 149148501120/216
LCM = 690502320
Thus, we can understand that the LCM of 810,678,368,738 is 690502320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 810, 678, 368, 738
1. What is the LCM of 810, 678, 368, 738?
Answer: LCM of 810, 678, 368, 738 is 690502320.
2. How to calculate the LCM of 810, 678, 368, 738?
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 810, 678, 368, 738.
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}.