LCM of 491, 584, 360, 633, 811
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 584, 360, 633, 811 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 491, 584, 360, 633, 811. So, keep reading to learn more.
Given numbers are 491,584,360,633,811
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,584,360,633,811 is 2208056401080.
Find LCM of 491,584,360,633,811 with Prime Factorization
| 2 | 491, 584, 360, 633, 811 |
| 2 | 491, 292, 180, 633, 811 |
| 2 | 491, 146, 90, 633, 811 |
| 3 | 491, 73, 45, 633, 811 |
| 491, 73, 15, 211, 811 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 491 x 73 x 15 x 211 x 811 = 2208056401080
Therefore, the lowest common multiple of 491,584,360,633,811 is 2208056401080.
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.
491 x 584 x 360 x 633 x 811 = 52993353625920
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.
491 : 1, 491
584 : 1, 2, 4, 8, 73, 146, 292, 584
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
633 : 1, 3, 211, 633
811 : 1, 811
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,584,360,633,811, is 1.
Now, the common factors can be found like this.
491:491
584:2x 2x 2x 73
360:2x 2x 2x 3x 3x 5
633:3x 211
811:811
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 3 = 24
Therefore, the value for common factors is 24.
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 = 52993353625920/(1x24)
LCM = 52993353625920/24
LCM = 2208056401080
Thus, we can understand that the LCM of 491,584,360,633,811 is 2208056401080.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 491, 584, 360, 633, 811
1. What is the LCM of 491, 584, 360, 633, 811?
Answer: LCM of 491, 584, 360, 633, 811 is 2208056401080.
2. How to calculate the LCM of 491, 584, 360, 633, 811?
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 491, 584, 360, 633, 811.
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}.