LCM of 462, 605, 833, 711
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 605, 833, 711 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 462, 605, 833, 711. So, keep reading to learn more.
Given numbers are 462,605,833,711
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,605,833,711 is 716638230.
Find LCM of 462,605,833,711 with Prime Factorization
| 3 | 462, 605, 833, 711 |
| 7 | 154, 605, 833, 237 |
| 11 | 22, 605, 119, 237 |
| 2, 55, 119, 237 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 2 x 55 x 119 x 237 = 716638230
Therefore, the lowest common multiple of 462,605,833,711 is 716638230.
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.
462 x 605 x 833 x 711 = 165543431130
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
605 : 1, 5, 11, 55, 121, 605
833 : 1, 7, 17, 49, 119, 833
711 : 1, 3, 9, 79, 237, 711
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,605,833,711, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
605:5x 11x 11
833:7x 7x 17
711:3x 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.
3x 7x 11 = 231
Therefore, the value for common factors is 231.
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 = 165543431130/(1x231)
LCM = 165543431130/231
LCM = 716638230
Thus, we can understand that the LCM of 462,605,833,711 is 716638230.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 462, 605, 833, 711
1. What is the LCM of 462, 605, 833, 711?
Answer: LCM of 462, 605, 833, 711 is 716638230.
2. How to calculate the LCM of 462, 605, 833, 711?
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 462, 605, 833, 711.
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}.