Find the LCM of 162, 494, 530, 546, 371 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 162, 494, 530, 546, 371. So, keep reading to learn more.
Given numbers are 162,494,530,546,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,494,530,546,371 is 74225970.
Find LCM of 162,494,530,546,371 with Prime Factorization
2 | 162, 494, 530, 546, 371 |
3 | 81, 247, 265, 273, 371 |
7 | 27, 247, 265, 91, 371 |
13 | 27, 247, 265, 13, 53 |
53 | 27, 19, 265, 1, 53 |
27, 19, 5, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 53 x 27 x 19 x 5 x 1 x 1 = 74225970
Therefore, the lowest common multiple of 162,494,530,546,371 is 74225970.
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.
162 x 494 x 530 x 546 x 371 = 8591804479440
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.
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
494 : 1, 2, 13, 19, 26, 38, 247, 494
530 : 1, 2, 5, 10, 53, 106, 265, 530
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,494,530,546,371, is 1.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
494:2x 13x 19
530:2x 5x 53
546:2x 3x 7x 13
371:7x 53
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 3x 7x 13x 53 = 115752
Therefore, the value for common factors is 115752.
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 = 8591804479440/(1x115752)
LCM = 8591804479440/115752
LCM = 74225970
Thus, we can understand that the LCM of 162,494,530,546,371 is 74225970.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 162, 494, 530, 546, 371?
Answer: LCM of 162, 494, 530, 546, 371 is 74225970.
2. How to calculate the LCM of 162, 494, 530, 546, 371?
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 162, 494, 530, 546, 371.
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}.