Find the LCM of 359, 810, 351, 474, 641 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 359, 810, 351, 474, 641. So, keep reading to learn more.
Given numbers are 359,810,351,474,641
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,810,351,474,641 is 191429092530.
Find LCM of 359,810,351,474,641 with Prime Factorization
2 | 359, 810, 351, 474, 641 |
3 | 359, 405, 351, 237, 641 |
3 | 359, 135, 117, 79, 641 |
3 | 359, 45, 39, 79, 641 |
359, 15, 13, 79, 641 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 359 x 15 x 13 x 79 x 641 = 191429092530
Therefore, the lowest common multiple of 359,810,351,474,641 is 191429092530.
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.
359 x 810 x 351 x 474 x 641 = 31011512989860
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.
359 : 1, 359
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
351 : 1, 3, 9, 13, 27, 39, 117, 351
474 : 1, 2, 3, 6, 79, 158, 237, 474
641 : 1, 641
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,810,351,474,641, is 1.
Now, the common factors can be found like this.
359:359
810:2x 3x 3x 3x 3x 5
351:3x 3x 3x 13
474:2x 3x 79
641:641
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 31011512989860/(1x162)
LCM = 31011512989860/162
LCM = 191429092530
Thus, we can understand that the LCM of 359,810,351,474,641 is 191429092530.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 359, 810, 351, 474, 641?
Answer: LCM of 359, 810, 351, 474, 641 is 191429092530.
2. How to calculate the LCM of 359, 810, 351, 474, 641?
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 359, 810, 351, 474, 641.
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}.