LCM of 403, 363, 988, 100, 335
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 363, 988, 100, 335 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 403, 363, 988, 100, 335. So, keep reading to learn more.
Given numbers are 403,363,988,100,335
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,363,988,100,335 is 18622589700.
Find LCM of 403,363,988,100,335 with Prime Factorization
| 2 | 403, 363, 988, 100, 335 |
| 2 | 403, 363, 494, 50, 335 |
| 5 | 403, 363, 247, 25, 335 |
| 13 | 403, 363, 247, 5, 67 |
| 31, 363, 19, 5, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 31 x 363 x 19 x 5 x 67 = 18622589700
Therefore, the lowest common multiple of 403,363,988,100,335 is 18622589700.
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.
403 x 363 x 988 x 100 x 335 = 4841873322000
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.
403 : 1, 13, 31, 403
363 : 1, 3, 11, 33, 121, 363
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
335 : 1, 5, 67, 335
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,363,988,100,335, is 1.
Now, the common factors can be found like this.
403:13x 31
363:3x 11x 11
988:2x 2x 13x 19
100:2x 2x 5x 5
335:5x 67
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 5x 13 = 260
Therefore, the value for common factors is 260.
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 = 4841873322000/(1x260)
LCM = 4841873322000/260
LCM = 18622589700
Thus, we can understand that the LCM of 403,363,988,100,335 is 18622589700.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 403, 363, 988, 100, 335
1. What is the LCM of 403, 363, 988, 100, 335?
Answer: LCM of 403, 363, 988, 100, 335 is 18622589700.
2. How to calculate the LCM of 403, 363, 988, 100, 335?
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 403, 363, 988, 100, 335.
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}.