LCM of 6409, 7888
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 6409, 7888 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 6409, 7888. So, keep reading to learn more.
Given numbers are 6409,7888
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6409,7888 is 102544.
Find LCM of 6409,7888 with Prime Factorization
| 17 | 6409, 7888 |
| 29 | 377, 464 |
| 13, 16 |
Multiply the prime numbers at the bottom and the left side.
17 x 29 x 13 x 16 = 102544
Therefore, the lowest common multiple of 6409,7888 is 102544.
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.
6409 x 7888 = 50554192
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.
6409 : 1, 13, 17, 29, 221, 377, 493, 6409
7888 : 1, 2, 4, 8, 16, 17, 29, 34, 58, 68, 116, 136, 232, 272, 464, 493, 986, 1972, 3944, 7888
493 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6409,7888, is 493.
Now, the common factors can be found like this.
6409:13x 17x 29
7888:2x 2x 2x 2x 17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 50554192/(493x1)
LCM = 50554192/493
LCM = 102544
Thus, we can understand that the LCM of 6409,7888 is 102544.
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FAQs on LCM of 6409, 7888
1. What is the LCM of 6409, 7888?
Answer: LCM of 6409, 7888 is 102544.
2. How to calculate the LCM of 6409, 7888?
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 6409, 7888.
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}.