LCM of 400, 893, 403, 988, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 400, 893, 403, 988, 492 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 400, 893, 403, 988, 492. So, keep reading to learn more.
Given numbers are 400,893,403,988,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,893,403,988,492 is 17706046800.
Find LCM of 400,893,403,988,492 with Prime Factorization
| 2 | 400, 893, 403, 988, 492 |
| 2 | 200, 893, 403, 494, 246 |
| 13 | 100, 893, 403, 247, 123 |
| 19 | 100, 893, 31, 19, 123 |
| 100, 47, 31, 1, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 19 x 100 x 47 x 31 x 1 x 123 = 17706046800
Therefore, the lowest common multiple of 400,893,403,988,492 is 17706046800.
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.
400 x 893 x 403 x 988 x 492 = 69974296953600
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.
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
893 : 1, 19, 47, 893
403 : 1, 13, 31, 403
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,893,403,988,492, is 1.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
893:19x 47
403:13x 31
988:2x 2x 13x 19
492:2x 2x 3x 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 13x 19 = 3952
Therefore, the value for common factors is 3952.
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 = 69974296953600/(1x3952)
LCM = 69974296953600/3952
LCM = 17706046800
Thus, we can understand that the LCM of 400,893,403,988,492 is 17706046800.
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FAQs on LCM of 400, 893, 403, 988, 492
1. What is the LCM of 400, 893, 403, 988, 492?
Answer: LCM of 400, 893, 403, 988, 492 is 17706046800.
2. How to calculate the LCM of 400, 893, 403, 988, 492?
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 400, 893, 403, 988, 492.
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}.