LCM of 447, 671, 968, 378, 842
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 447, 671, 968, 378, 842 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 447, 671, 968, 378, 842. So, keep reading to learn more.
Given numbers are 447,671,968,378,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,671,968,378,842 is 700060156488.
Find LCM of 447,671,968,378,842 with Prime Factorization
| 2 | 447, 671, 968, 378, 842 |
| 3 | 447, 671, 484, 189, 421 |
| 11 | 149, 671, 484, 63, 421 |
| 149, 61, 44, 63, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 149 x 61 x 44 x 63 x 421 = 700060156488
Therefore, the lowest common multiple of 447,671,968,378,842 is 700060156488.
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.
447 x 671 x 968 x 378 x 842 = 92407940656416
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.
447 : 1, 3, 149, 447
671 : 1, 11, 61, 671
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,671,968,378,842, is 1.
Now, the common factors can be found like this.
447:3x 149
671:11x 61
968:2x 2x 2x 11x 11
378:2x 3x 3x 3x 7
842:2x 421
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 11 = 132
Therefore, the value for common factors is 132.
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 = 92407940656416/(1x132)
LCM = 92407940656416/132
LCM = 700060156488
Thus, we can understand that the LCM of 447,671,968,378,842 is 700060156488.
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FAQs on LCM of 447, 671, 968, 378, 842
1. What is the LCM of 447, 671, 968, 378, 842?
Answer: LCM of 447, 671, 968, 378, 842 is 700060156488.
2. How to calculate the LCM of 447, 671, 968, 378, 842?
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 447, 671, 968, 378, 842.
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}.