Find the LCM of 678, 397, 128, 316, 521 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, 397, 128, 316, 521. So, keep reading to learn more.
Given numbers are 678,397,128,316,521
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,397,128,316,521 is 709030617216.
Find LCM of 678,397,128,316,521 with Prime Factorization
2 | 678, 397, 128, 316, 521 |
2 | 339, 397, 64, 158, 521 |
339, 397, 32, 79, 521 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 339 x 397 x 32 x 79 x 521 = 709030617216
Therefore, the lowest common multiple of 678,397,128,316,521 is 709030617216.
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 397 x 128 x 316 x 521 = 5672244937728
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
397 : 1, 397
128 : 1, 2, 4, 8, 16, 32, 64, 128
316 : 1, 2, 4, 79, 158, 316
521 : 1, 521
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,397,128,316,521, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
397:397
128:2x 2x 2x 2x 2x 2x 2
316:2x 2x 79
521:521
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 2 = 8
Therefore, the value for common factors is 8.
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 = 5672244937728/(1x8)
LCM = 5672244937728/8
LCM = 709030617216
Thus, we can understand that the LCM of 678,397,128,316,521 is 709030617216.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 678, 397, 128, 316, 521?
Answer: LCM of 678, 397, 128, 316, 521 is 709030617216.
2. How to calculate the LCM of 678, 397, 128, 316, 521?
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, 397, 128, 316, 521.
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}.