Find the LCM of 3470, 5344 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 3470, 5344. So, keep reading to learn more.
Given numbers are 3470,5344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3470,5344 is 9271840.
Find LCM of 3470,5344 with Prime Factorization
| 2 | 3470, 5344 |
| 1735, 2672 |
Multiply the prime numbers at the bottom and the left side.
2 x 1735 x 2672 = 9271840
Therefore, the lowest common multiple of 3470,5344 is 9271840.
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.
3470 x 5344 = 18543680
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.
3470 : 1, 2, 5, 10, 347, 694, 1735, 3470
5344 : 1, 2, 4, 8, 16, 32, 167, 334, 668, 1336, 2672, 5344
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3470,5344, is 2.
Now, the common factors can be found like this.
3470:2x 5x 347
5344:2x 2x 2x 2x 2x 167
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 = 18543680/(2x1)
LCM = 18543680/2
LCM = 9271840
Thus, we can understand that the LCM of 3470,5344 is 9271840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 3470, 5344?
Answer: LCM of 3470, 5344 is 9271840.
2. How to calculate the LCM of 3470, 5344?
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 3470, 5344.
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}.