LCM of 940, 690, 108, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 940, 690, 108, 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 940, 690, 108, 810. So, keep reading to learn more.
Given numbers are 940,690,108,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 940,690,108,810 is 1751220.
Find LCM of 940,690,108,810 with Prime Factorization
| 2 | 940, 690, 108, 810 |
| 2 | 470, 345, 54, 405 |
| 3 | 235, 345, 27, 405 |
| 3 | 235, 115, 9, 135 |
| 3 | 235, 115, 3, 45 |
| 5 | 235, 115, 1, 15 |
| 47, 23, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 47 x 23 x 1 x 3 = 1751220
Therefore, the lowest common multiple of 940,690,108,810 is 1751220.
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.
940 x 690 x 108 x 810 = 56739528000
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.
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,690,108,810, is 2.
Now, the common factors can be found like this.
940:2x 2x 5x 47
690:2x 3x 5x 23
108:2x 2x 3x 3x 3
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 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 = 56739528000/(2x16200)
LCM = 56739528000/32400
LCM = 1751220
Thus, we can understand that the LCM of 940,690,108,810 is 1751220.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 940, 690, 108, 810
1. What is the LCM of 940, 690, 108, 810?
Answer: LCM of 940, 690, 108, 810 is 1751220.
2. How to calculate the LCM of 940, 690, 108, 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 940, 690, 108, 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}.