Find the LCM of 706, 135, 845, 706, 520 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 706, 135, 845, 706, 520. So, keep reading to learn more.
Given numbers are 706,135,845,706,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,135,845,706,520 is 64429560.
Find LCM of 706,135,845,706,520 with Prime Factorization
2 | 706, 135, 845, 706, 520 |
5 | 353, 135, 845, 353, 260 |
13 | 353, 27, 169, 353, 52 |
353 | 353, 27, 13, 353, 4 |
1, 27, 13, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 353 x 1 x 27 x 13 x 1 x 4 = 64429560
Therefore, the lowest common multiple of 706,135,845,706,520 is 64429560.
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.
706 x 135 x 845 x 706 x 520 = 29566725084000
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.
706 : 1, 2, 353, 706
135 : 1, 3, 5, 9, 15, 27, 45, 135
845 : 1, 5, 13, 65, 169, 845
706 : 1, 2, 353, 706
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,135,845,706,520, is 1.
Now, the common factors can be found like this.
706:2x 353
135:3x 3x 3x 5
845:5x 13x 13
706:2x 353
520:2x 2x 2x 5x 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 5x 5x 13x 353 = 458900
Therefore, the value for common factors is 458900.
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 = 29566725084000/(1x458900)
LCM = 29566725084000/458900
LCM = 64429560
Thus, we can understand that the LCM of 706,135,845,706,520 is 64429560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 706, 135, 845, 706, 520?
Answer: LCM of 706, 135, 845, 706, 520 is 64429560.
2. How to calculate the LCM of 706, 135, 845, 706, 520?
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 706, 135, 845, 706, 520.
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}.