LCM of 822, 767, 451, 866, 474
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 767, 451, 866, 474 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 822, 767, 451, 866, 474. So, keep reading to learn more.
Given numbers are 822,767,451,866,474
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,767,451,866,474 is 9726547477218.
Find LCM of 822,767,451,866,474 with Prime Factorization
| 2 | 822, 767, 451, 866, 474 |
| 3 | 411, 767, 451, 433, 237 |
| 137, 767, 451, 433, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 137 x 767 x 451 x 433 x 79 = 9726547477218
Therefore, the lowest common multiple of 822,767,451,866,474 is 9726547477218.
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.
822 x 767 x 451 x 866 x 474 = 116718569726616
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
767 : 1, 13, 59, 767
451 : 1, 11, 41, 451
866 : 1, 2, 433, 866
474 : 1, 2, 3, 6, 79, 158, 237, 474
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,767,451,866,474, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
767:13x 59
451:11x 41
866:2x 433
474:2x 3x 79
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 3 = 12
Therefore, the value for common factors is 12.
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 = 116718569726616/(1x12)
LCM = 116718569726616/12
LCM = 9726547477218
Thus, we can understand that the LCM of 822,767,451,866,474 is 9726547477218.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 822, 767, 451, 866, 474
1. What is the LCM of 822, 767, 451, 866, 474?
Answer: LCM of 822, 767, 451, 866, 474 is 9726547477218.
2. How to calculate the LCM of 822, 767, 451, 866, 474?
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 822, 767, 451, 866, 474.
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}.