Find the LCM of 815, 434, 391, 437, 356 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 815, 434, 391, 437, 356. So, keep reading to learn more.
Given numbers are 815,434,391,437,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 815,434,391,437,356 is 467732663020.
Find LCM of 815,434,391,437,356 with Prime Factorization
2 | 815, 434, 391, 437, 356 |
23 | 815, 217, 391, 437, 178 |
815, 217, 17, 19, 178 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 815 x 217 x 17 x 19 x 178 = 467732663020
Therefore, the lowest common multiple of 815,434,391,437,356 is 467732663020.
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.
815 x 434 x 391 x 437 x 356 = 21515702498920
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.
815 : 1, 5, 163, 815
434 : 1, 2, 7, 14, 31, 62, 217, 434
391 : 1, 17, 23, 391
437 : 1, 19, 23, 437
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,434,391,437,356, is 1.
Now, the common factors can be found like this.
815:5x 163
434:2x 7x 31
391:17x 23
437:19x 23
356:2x 2x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 21515702498920/(1x46)
LCM = 21515702498920/46
LCM = 467732663020
Thus, we can understand that the LCM of 815,434,391,437,356 is 467732663020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 815, 434, 391, 437, 356?
Answer: LCM of 815, 434, 391, 437, 356 is 467732663020.
2. How to calculate the LCM of 815, 434, 391, 437, 356?
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 815, 434, 391, 437, 356.
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}.