LCM of 381, 319, 286, 642, 754
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 319, 286, 642, 754 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 381, 319, 286, 642, 754. So, keep reading to learn more.
Given numbers are 381,319,286,642,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,319,286,642,754 is 338121498.
Find LCM of 381,319,286,642,754 with Prime Factorization
| 2 | 381, 319, 286, 642, 754 |
| 3 | 381, 319, 143, 321, 377 |
| 11 | 127, 319, 143, 107, 377 |
| 13 | 127, 29, 13, 107, 377 |
| 29 | 127, 29, 1, 107, 29 |
| 127, 1, 1, 107, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 29 x 127 x 1 x 1 x 107 x 1 = 338121498
Therefore, the lowest common multiple of 381,319,286,642,754 is 338121498.
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.
381 x 319 x 286 x 642 x 754 = 16826278226472
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.
381 : 1, 3, 127, 381
319 : 1, 11, 29, 319
286 : 1, 2, 11, 13, 22, 26, 143, 286
642 : 1, 2, 3, 6, 107, 214, 321, 642
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,319,286,642,754, is 1.
Now, the common factors can be found like this.
381:3x 127
319:11x 29
286:2x 11x 13
642:2x 3x 107
754:2x 13x 29
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 13x 29 = 49764
Therefore, the value for common factors is 49764.
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 = 16826278226472/(1x49764)
LCM = 16826278226472/49764
LCM = 338121498
Thus, we can understand that the LCM of 381,319,286,642,754 is 338121498.
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FAQs on LCM of 381, 319, 286, 642, 754
1. What is the LCM of 381, 319, 286, 642, 754?
Answer: LCM of 381, 319, 286, 642, 754 is 338121498.
2. How to calculate the LCM of 381, 319, 286, 642, 754?
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 381, 319, 286, 642, 754.
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}.