LCM of 403, 928, 392, 686, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 928, 392, 686, 507 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, 928, 392, 686, 507. So, keep reading to learn more.
Given numbers are 403,928,392,686,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,928,392,686,507 is 5002783968.
Find LCM of 403,928,392,686,507 with Prime Factorization
| 2 | 403, 928, 392, 686, 507 |
| 2 | 403, 464, 196, 343, 507 |
| 2 | 403, 232, 98, 343, 507 |
| 7 | 403, 116, 49, 343, 507 |
| 7 | 403, 116, 7, 49, 507 |
| 13 | 403, 116, 1, 7, 507 |
| 31, 116, 1, 7, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 7 x 13 x 31 x 116 x 1 x 7 x 39 = 5002783968
Therefore, the lowest common multiple of 403,928,392,686,507 is 5002783968.
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 928 x 392 x 686 x 507 = 50988374201856
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
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
686 : 1, 2, 7, 14, 49, 98, 343, 686
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,928,392,686,507, is 1.
Now, the common factors can be found like this.
403:13x 31
928:2x 2x 2x 2x 2x 29
392:2x 2x 2x 7x 7
686:2x 7x 7x 7
507:3x 13x 13
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 7x 7x 13 = 10192
Therefore, the value for common factors is 10192.
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 = 50988374201856/(1x10192)
LCM = 50988374201856/10192
LCM = 5002783968
Thus, we can understand that the LCM of 403,928,392,686,507 is 5002783968.
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FAQs on LCM of 403, 928, 392, 686, 507
1. What is the LCM of 403, 928, 392, 686, 507?
Answer: LCM of 403, 928, 392, 686, 507 is 5002783968.
2. How to calculate the LCM of 403, 928, 392, 686, 507?
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, 928, 392, 686, 507.
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}.