Find the LCM of 355, 466, 567, 201, 402 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 355, 466, 567, 201, 402. So, keep reading to learn more.
Given numbers are 355,466,567,201,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,466,567,201,402 is 6284520270.
Find LCM of 355,466,567,201,402 with Prime Factorization
2 | 355, 466, 567, 201, 402 |
3 | 355, 233, 567, 201, 201 |
67 | 355, 233, 189, 67, 67 |
355, 233, 189, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 67 x 355 x 233 x 189 x 1 x 1 = 6284520270
Therefore, the lowest common multiple of 355,466,567,201,402 is 6284520270.
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.
355 x 466 x 567 x 201 x 402 = 7579131445620
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.
355 : 1, 5, 71, 355
466 : 1, 2, 233, 466
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
201 : 1, 3, 67, 201
402 : 1, 2, 3, 6, 67, 134, 201, 402
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,466,567,201,402, is 1.
Now, the common factors can be found like this.
355:5x 71
466:2x 233
567:3x 3x 3x 3x 7
201:3x 67
402:2x 3x 67
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 = 7579131445620/(1x1206)
LCM = 7579131445620/1206
LCM = 6284520270
Thus, we can understand that the LCM of 355,466,567,201,402 is 6284520270.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 355, 466, 567, 201, 402?
Answer: LCM of 355, 466, 567, 201, 402 is 6284520270.
2. How to calculate the LCM of 355, 466, 567, 201, 402?
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 355, 466, 567, 201, 402.
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}.