LCM of 732, 988, 338, 413
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 988, 338, 413 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 732, 988, 338, 413. So, keep reading to learn more.
Given numbers are 732,988,338,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,988,338,413 is 970736676.
Find LCM of 732,988,338,413 with Prime Factorization
| 2 | 732, 988, 338, 413 |
| 2 | 366, 494, 169, 413 |
| 13 | 183, 247, 169, 413 |
| 183, 19, 13, 413 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 183 x 19 x 13 x 413 = 970736676
Therefore, the lowest common multiple of 732,988,338,413 is 970736676.
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.
732 x 988 x 338 x 413 = 100956614304
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
338 : 1, 2, 13, 26, 169, 338
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,988,338,413, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
988:2x 2x 13x 19
338:2x 13x 13
413:7x 59
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 13 = 104
Therefore, the value for common factors is 104.
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 = 100956614304/(1x104)
LCM = 100956614304/104
LCM = 970736676
Thus, we can understand that the LCM of 732,988,338,413 is 970736676.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 732, 988, 338, 413
1. What is the LCM of 732, 988, 338, 413?
Answer: LCM of 732, 988, 338, 413 is 970736676.
2. How to calculate the LCM of 732, 988, 338, 413?
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 732, 988, 338, 413.
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}.