LCM of 836, 712, 623, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 712, 623, 784 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 836, 712, 623, 784. So, keep reading to learn more.
Given numbers are 836,712,623,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,712,623,784 is 14583184.
Find LCM of 836,712,623,784 with Prime Factorization
| 2 | 836, 712, 623, 784 |
| 2 | 418, 356, 623, 392 |
| 2 | 209, 178, 623, 196 |
| 7 | 209, 89, 623, 98 |
| 89 | 209, 89, 89, 14 |
| 209, 1, 1, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 89 x 209 x 1 x 1 x 14 = 14583184
Therefore, the lowest common multiple of 836,712,623,784 is 14583184.
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.
836 x 712 x 623 x 784 = 290730356224
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
712 : 1, 2, 4, 8, 89, 178, 356, 712
623 : 1, 7, 89, 623
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,712,623,784, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
712:2x 2x 2x 89
623:7x 89
784:2x 2x 2x 2x 7x 7
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 2x 2x 7x 89 = 19936
Therefore, the value for common factors is 19936.
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 = 290730356224/(1x19936)
LCM = 290730356224/19936
LCM = 14583184
Thus, we can understand that the LCM of 836,712,623,784 is 14583184.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 836, 712, 623, 784
1. What is the LCM of 836, 712, 623, 784?
Answer: LCM of 836, 712, 623, 784 is 14583184.
2. How to calculate the LCM of 836, 712, 623, 784?
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 836, 712, 623, 784.
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}.