Find the LCM of 418, 715, 950, 272, 164 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 418, 715, 950, 272, 164. So, keep reading to learn more.
Given numbers are 418,715,950,272,164
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,715,950,272,164 is 757499600.
Find LCM of 418,715,950,272,164 with Prime Factorization
2 | 418, 715, 950, 272, 164 |
2 | 209, 715, 475, 136, 82 |
5 | 209, 715, 475, 68, 41 |
11 | 209, 143, 95, 68, 41 |
19 | 19, 13, 95, 68, 41 |
1, 13, 5, 68, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 19 x 1 x 13 x 5 x 68 x 41 = 757499600
Therefore, the lowest common multiple of 418,715,950,272,164 is 757499600.
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.
418 x 715 x 950 x 272 x 164 = 12665393312000
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
715 : 1, 5, 11, 13, 55, 65, 143, 715
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
164 : 1, 2, 4, 41, 82, 164
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,715,950,272,164, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
715:5x 11x 13
950:2x 5x 5x 19
272:2x 2x 2x 2x 17
164:2x 2x 41
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 2x 5x 11x 19 = 16720
Therefore, the value for common factors is 16720.
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 = 12665393312000/(1x16720)
LCM = 12665393312000/16720
LCM = 757499600
Thus, we can understand that the LCM of 418,715,950,272,164 is 757499600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 418, 715, 950, 272, 164?
Answer: LCM of 418, 715, 950, 272, 164 is 757499600.
2. How to calculate the LCM of 418, 715, 950, 272, 164?
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 418, 715, 950, 272, 164.
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}.