LCM of 339, 646, 124, 748, 124
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 646, 124, 748, 124 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 339, 646, 124, 748, 124. So, keep reading to learn more.
Given numbers are 339,646,124,748,124
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,646,124,748,124 is 149353908.
Find LCM of 339,646,124,748,124 with Prime Factorization
| 2 | 339, 646, 124, 748, 124 |
| 2 | 339, 323, 62, 374, 62 |
| 17 | 339, 323, 31, 187, 31 |
| 31 | 339, 19, 31, 11, 31 |
| 339, 19, 1, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 31 x 339 x 19 x 1 x 11 x 1 = 149353908
Therefore, the lowest common multiple of 339,646,124,748,124 is 149353908.
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.
339 x 646 x 124 x 748 x 124 = 2518704304512
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.
339 : 1, 3, 113, 339
646 : 1, 2, 17, 19, 34, 38, 323, 646
124 : 1, 2, 4, 31, 62, 124
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
124 : 1, 2, 4, 31, 62, 124
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,646,124,748,124, is 1.
Now, the common factors can be found like this.
339:3x 113
646:2x 17x 19
124:2x 2x 31
748:2x 2x 11x 17
124:2x 2x 31
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 2x 17x 31 = 16864
Therefore, the value for common factors is 16864.
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 = 2518704304512/(1x16864)
LCM = 2518704304512/16864
LCM = 149353908
Thus, we can understand that the LCM of 339,646,124,748,124 is 149353908.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 339, 646, 124, 748, 124
1. What is the LCM of 339, 646, 124, 748, 124?
Answer: LCM of 339, 646, 124, 748, 124 is 149353908.
2. How to calculate the LCM of 339, 646, 124, 748, 124?
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 339, 646, 124, 748, 124.
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}.