Find the LCM of 678, 649, 929, 409, 288 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 678, 649, 929, 409, 288. So, keep reading to learn more.
Given numbers are 678,649,929,409,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,649,929,409,288 is 8025177558816.
Find LCM of 678,649,929,409,288 with Prime Factorization
2 | 678, 649, 929, 409, 288 |
3 | 339, 649, 929, 409, 144 |
113, 649, 929, 409, 48 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 113 x 649 x 929 x 409 x 48 = 8025177558816
Therefore, the lowest common multiple of 678,649,929,409,288 is 8025177558816.
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.
678 x 649 x 929 x 409 x 288 = 48151065352896
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
649 : 1, 11, 59, 649
929 : 1, 929
409 : 1, 409
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,649,929,409,288, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
649:11x 59
929:929
409:409
288:2x 2x 2x 2x 2x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 48151065352896/(1x6)
LCM = 48151065352896/6
LCM = 8025177558816
Thus, we can understand that the LCM of 678,649,929,409,288 is 8025177558816.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 678, 649, 929, 409, 288?
Answer: LCM of 678, 649, 929, 409, 288 is 8025177558816.
2. How to calculate the LCM of 678, 649, 929, 409, 288?
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 678, 649, 929, 409, 288.
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}.