LCM of 387, 953, 304, 776, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 387, 953, 304, 776, 363 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 387, 953, 304, 776, 363. So, keep reading to learn more.
Given numbers are 387,953,304,776,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,953,304,776,363 is 1315935350928.
Find LCM of 387,953,304,776,363 with Prime Factorization
| 2 | 387, 953, 304, 776, 363 |
| 2 | 387, 953, 152, 388, 363 |
| 2 | 387, 953, 76, 194, 363 |
| 3 | 387, 953, 38, 97, 363 |
| 129, 953, 38, 97, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 129 x 953 x 38 x 97 x 121 = 1315935350928
Therefore, the lowest common multiple of 387,953,304,776,363 is 1315935350928.
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.
387 x 953 x 304 x 776 x 363 = 31582448422272
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.
387 : 1, 3, 9, 43, 129, 387
953 : 1, 953
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
776 : 1, 2, 4, 8, 97, 194, 388, 776
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,953,304,776,363, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
953:953
304:2x 2x 2x 2x 19
776:2x 2x 2x 97
363:3x 11x 11
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 3 = 24
Therefore, the value for common factors is 24.
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 = 31582448422272/(1x24)
LCM = 31582448422272/24
LCM = 1315935350928
Thus, we can understand that the LCM of 387,953,304,776,363 is 1315935350928.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 387, 953, 304, 776, 363
1. What is the LCM of 387, 953, 304, 776, 363?
Answer: LCM of 387, 953, 304, 776, 363 is 1315935350928.
2. How to calculate the LCM of 387, 953, 304, 776, 363?
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 387, 953, 304, 776, 363.
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}.