LCM of 914, 506, 885, 759, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 506, 885, 759, 822 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 914, 506, 885, 759, 822. So, keep reading to learn more.
Given numbers are 914,506,885,759,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,506,885,759,822 is 28036936290.
Find LCM of 914,506,885,759,822 with Prime Factorization
| 2 | 914, 506, 885, 759, 822 |
| 3 | 457, 253, 885, 759, 411 |
| 11 | 457, 253, 295, 253, 137 |
| 23 | 457, 23, 295, 23, 137 |
| 457, 1, 295, 1, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 23 x 457 x 1 x 295 x 1 x 137 = 28036936290
Therefore, the lowest common multiple of 914,506,885,759,822 is 28036936290.
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.
914 x 506 x 885 x 759 x 822 = 255360415729320
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.
914 : 1, 2, 457, 914
506 : 1, 2, 11, 22, 23, 46, 253, 506
885 : 1, 3, 5, 15, 59, 177, 295, 885
759 : 1, 3, 11, 23, 33, 69, 253, 759
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,506,885,759,822, is 1.
Now, the common factors can be found like this.
914:2x 457
506:2x 11x 23
885:3x 5x 59
759:3x 11x 23
822:2x 3x 137
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 11x 23 = 9108
Therefore, the value for common factors is 9108.
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 = 255360415729320/(1x9108)
LCM = 255360415729320/9108
LCM = 28036936290
Thus, we can understand that the LCM of 914,506,885,759,822 is 28036936290.
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FAQs on LCM of 914, 506, 885, 759, 822
1. What is the LCM of 914, 506, 885, 759, 822?
Answer: LCM of 914, 506, 885, 759, 822 is 28036936290.
2. How to calculate the LCM of 914, 506, 885, 759, 822?
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 914, 506, 885, 759, 822.
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}.