LCM of 262, 589, 806, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 589, 806, 741 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 262, 589, 806, 741. So, keep reading to learn more.
Given numbers are 262,589,806,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,589,806,741 is 6018402.
Find LCM of 262,589,806,741 with Prime Factorization
| 2 | 262, 589, 806, 741 |
| 13 | 131, 589, 403, 741 |
| 19 | 131, 589, 31, 57 |
| 31 | 131, 31, 31, 3 |
| 131, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 31 x 131 x 1 x 1 x 3 = 6018402
Therefore, the lowest common multiple of 262,589,806,741 is 6018402.
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.
262 x 589 x 806 x 741 = 92165808228
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.
262 : 1, 2, 131, 262
589 : 1, 19, 31, 589
806 : 1, 2, 13, 26, 31, 62, 403, 806
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,589,806,741, is 1.
Now, the common factors can be found like this.
262:2x 131
589:19x 31
806:2x 13x 31
741:3x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 19x 31 = 15314
Therefore, the value for common factors is 15314.
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 = 92165808228/(1x15314)
LCM = 92165808228/15314
LCM = 6018402
Thus, we can understand that the LCM of 262,589,806,741 is 6018402.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 262, 589, 806, 741
1. What is the LCM of 262, 589, 806, 741?
Answer: LCM of 262, 589, 806, 741 is 6018402.
2. How to calculate the LCM of 262, 589, 806, 741?
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 262, 589, 806, 741.
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}.