Find the LCM of 359, 842, 329, 502, 451 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, 842, 329, 502, 451. So, keep reading to learn more.
Given numbers are 359,842,329,502,451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,842,329,502,451 is 11257778547862.
Find LCM of 359,842,329,502,451 with Prime Factorization
2 | 359, 842, 329, 502, 451 |
359, 421, 329, 251, 451 |
Multiply the prime numbers at the bottom and the left side.
2 x 359 x 421 x 329 x 251 x 451 = 11257778547862
Therefore, the lowest common multiple of 359,842,329,502,451 is 11257778547862.
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 842 x 329 x 502 x 451 = 22515557095724
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
842 : 1, 2, 421, 842
329 : 1, 7, 47, 329
502 : 1, 2, 251, 502
451 : 1, 11, 41, 451
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,842,329,502,451, is 1.
Now, the common factors can be found like this.
359:359
842:2x 421
329:7x 47
502:2x 251
451:11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 22515557095724/(1x2)
LCM = 22515557095724/2
LCM = 11257778547862
Thus, we can understand that the LCM of 359,842,329,502,451 is 11257778547862.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 359, 842, 329, 502, 451?
Answer: LCM of 359, 842, 329, 502, 451 is 11257778547862.
2. How to calculate the LCM of 359, 842, 329, 502, 451?
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, 842, 329, 502, 451.
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}.