LCM of 380, 437, 957, 982, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 437, 957, 982, 412 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 380, 437, 957, 982, 412. So, keep reading to learn more.
Given numbers are 380,437,957,982,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,437,957,982,412 is 423001675140.
Find LCM of 380,437,957,982,412 with Prime Factorization
| 2 | 380, 437, 957, 982, 412 |
| 2 | 190, 437, 957, 491, 206 |
| 19 | 95, 437, 957, 491, 103 |
| 5, 23, 957, 491, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 5 x 23 x 957 x 491 x 103 = 423001675140
Therefore, the lowest common multiple of 380,437,957,982,412 is 423001675140.
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.
380 x 437 x 957 x 982 x 412 = 64296254621280
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
437 : 1, 19, 23, 437
957 : 1, 3, 11, 29, 33, 87, 319, 957
982 : 1, 2, 491, 982
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,437,957,982,412, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
437:19x 23
957:3x 11x 29
982:2x 491
412:2x 2x 103
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 19 = 152
Therefore, the value for common factors is 152.
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 = 64296254621280/(1x152)
LCM = 64296254621280/152
LCM = 423001675140
Thus, we can understand that the LCM of 380,437,957,982,412 is 423001675140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 380, 437, 957, 982, 412
1. What is the LCM of 380, 437, 957, 982, 412?
Answer: LCM of 380, 437, 957, 982, 412 is 423001675140.
2. How to calculate the LCM of 380, 437, 957, 982, 412?
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 380, 437, 957, 982, 412.
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}.