LCM of 162, 745, 942, 815, 376
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 162, 745, 942, 815, 376 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, 745, 942, 815, 376. So, keep reading to learn more.
Given numbers are 162,745,942,815,376
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,745,942,815,376 is 580652624520.
Find LCM of 162,745,942,815,376 with Prime Factorization
| 2 | 162, 745, 942, 815, 376 |
| 3 | 81, 745, 471, 815, 188 |
| 5 | 27, 745, 157, 815, 188 |
| 27, 149, 157, 163, 188 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 27 x 149 x 157 x 163 x 188 = 580652624520
Therefore, the lowest common multiple of 162,745,942,815,376 is 580652624520.
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 745 x 942 x 815 x 376 = 34839157471200
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
745 : 1, 5, 149, 745
942 : 1, 2, 3, 6, 157, 314, 471, 942
815 : 1, 5, 163, 815
376 : 1, 2, 4, 8, 47, 94, 188, 376
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,745,942,815,376, is 1.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
745:5x 149
942:2x 3x 157
815:5x 163
376:2x 2x 2x 47
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 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 34839157471200/(1x60)
LCM = 34839157471200/60
LCM = 580652624520
Thus, we can understand that the LCM of 162,745,942,815,376 is 580652624520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 162, 745, 942, 815, 376
1. What is the LCM of 162, 745, 942, 815, 376?
Answer: LCM of 162, 745, 942, 815, 376 is 580652624520.
2. How to calculate the LCM of 162, 745, 942, 815, 376?
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, 745, 942, 815, 376.
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}.