LCM of 934, 696, 735, 810, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 934, 696, 735, 810, 990 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 934, 696, 735, 810, 990. So, keep reading to learn more.
Given numbers are 934,696,735,810,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 934,696,735,810,990 is 23650953480.
Find LCM of 934,696,735,810,990 with Prime Factorization
| 2 | 934, 696, 735, 810, 990 |
| 3 | 467, 348, 735, 405, 495 |
| 3 | 467, 116, 245, 135, 165 |
| 5 | 467, 116, 245, 45, 55 |
| 467, 116, 49, 9, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 467 x 116 x 49 x 9 x 11 = 23650953480
Therefore, the lowest common multiple of 934,696,735,810,990 is 23650953480.
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.
934 x 696 x 735 x 810 x 990 = 383145446376000
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.
934 : 1, 2, 467, 934
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,696,735,810,990, is 1.
Now, the common factors can be found like this.
934:2x 467
696:2x 2x 2x 3x 29
735:3x 5x 7x 7
810:2x 3x 3x 3x 3x 5
990:2x 3x 3x 5x 11
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 3x 5x 5 = 16200
Therefore, the value for common factors is 16200.
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 = 383145446376000/(1x16200)
LCM = 383145446376000/16200
LCM = 23650953480
Thus, we can understand that the LCM of 934,696,735,810,990 is 23650953480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 934, 696, 735, 810, 990
1. What is the LCM of 934, 696, 735, 810, 990?
Answer: LCM of 934, 696, 735, 810, 990 is 23650953480.
2. How to calculate the LCM of 934, 696, 735, 810, 990?
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 934, 696, 735, 810, 990.
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}.