Find the LCM of 402, 743, 201, 393, 806 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 402, 743, 201, 393, 806. So, keep reading to learn more.
Given numbers are 402,743,201,393,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 402,743,201,393,806 is 15768529998.
Find LCM of 402,743,201,393,806 with Prime Factorization
2 | 402, 743, 201, 393, 806 |
3 | 201, 743, 201, 393, 403 |
67 | 67, 743, 67, 131, 403 |
1, 743, 1, 131, 403 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 67 x 1 x 743 x 1 x 131 x 403 = 15768529998
Therefore, the lowest common multiple of 402,743,201,393,806 is 15768529998.
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.
402 x 743 x 201 x 393 x 806 = 19016847177588
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.
402 : 1, 2, 3, 6, 67, 134, 201, 402
743 : 1, 743
201 : 1, 3, 67, 201
393 : 1, 3, 131, 393
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,743,201,393,806, is 1.
Now, the common factors can be found like this.
402:2x 3x 67
743:743
201:3x 67
393:3x 131
806:2x 13x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 67 = 1206
Therefore, the value for common factors is 1206.
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 = 19016847177588/(1x1206)
LCM = 19016847177588/1206
LCM = 15768529998
Thus, we can understand that the LCM of 402,743,201,393,806 is 15768529998.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 402, 743, 201, 393, 806?
Answer: LCM of 402, 743, 201, 393, 806 is 15768529998.
2. How to calculate the LCM of 402, 743, 201, 393, 806?
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 402, 743, 201, 393, 806.
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}.