LCM of 396, 687, 737, 142, 142
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 687, 737, 142, 142 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 396, 687, 737, 142, 142. So, keep reading to learn more.
Given numbers are 396,687,737,142,142
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,687,737,142,142 is 431383788.
Find LCM of 396,687,737,142,142 with Prime Factorization
| 2 | 396, 687, 737, 142, 142 |
| 3 | 198, 687, 737, 71, 71 |
| 11 | 66, 229, 737, 71, 71 |
| 71 | 6, 229, 67, 71, 71 |
| 6, 229, 67, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 71 x 6 x 229 x 67 x 1 x 1 = 431383788
Therefore, the lowest common multiple of 396,687,737,142,142 is 431383788.
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.
396 x 687 x 737 x 142 x 142 = 4042928861136
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
687 : 1, 3, 229, 687
737 : 1, 11, 67, 737
142 : 1, 2, 71, 142
142 : 1, 2, 71, 142
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,687,737,142,142, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
687:3x 229
737:11x 67
142:2x 71
142:2x 71
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 11x 71 = 9372
Therefore, the value for common factors is 9372.
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 = 4042928861136/(1x9372)
LCM = 4042928861136/9372
LCM = 431383788
Thus, we can understand that the LCM of 396,687,737,142,142 is 431383788.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 396, 687, 737, 142, 142
1. What is the LCM of 396, 687, 737, 142, 142?
Answer: LCM of 396, 687, 737, 142, 142 is 431383788.
2. How to calculate the LCM of 396, 687, 737, 142, 142?
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 396, 687, 737, 142, 142.
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}.