Find the LCM of 299, 956, 963, 579, 732 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 299, 956, 963, 579, 732. So, keep reading to learn more.
Given numbers are 299,956,963,579,732
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,956,963,579,732 is 3240727479756.
Find LCM of 299,956,963,579,732 with Prime Factorization
2 | 299, 956, 963, 579, 732 |
2 | 299, 478, 963, 579, 366 |
3 | 299, 239, 963, 579, 183 |
299, 239, 321, 193, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 299 x 239 x 321 x 193 x 61 = 3240727479756
Therefore, the lowest common multiple of 299,956,963,579,732 is 3240727479756.
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.
299 x 956 x 963 x 579 x 732 = 116666189271216
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.
299 : 1, 13, 23, 299
956 : 1, 2, 4, 239, 478, 956
963 : 1, 3, 9, 107, 321, 963
579 : 1, 3, 193, 579
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,956,963,579,732, is 1.
Now, the common factors can be found like this.
299:13x 23
956:2x 2x 239
963:3x 3x 107
579:3x 193
732:2x 2x 3x 61
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 116666189271216/(1x36)
LCM = 116666189271216/36
LCM = 3240727479756
Thus, we can understand that the LCM of 299,956,963,579,732 is 3240727479756.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 299, 956, 963, 579, 732?
Answer: LCM of 299, 956, 963, 579, 732 is 3240727479756.
2. How to calculate the LCM of 299, 956, 963, 579, 732?
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 299, 956, 963, 579, 732.
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}.