Find the LCM of 706, 330, 377, 706 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, 330, 377, 706. So, keep reading to learn more.
Given numbers are 706,330,377,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,330,377,706 is 43916730.
Find LCM of 706,330,377,706 with Prime Factorization
2 | 706, 330, 377, 706 |
353 | 353, 165, 377, 353 |
1, 165, 377, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 353 x 1 x 165 x 377 x 1 = 43916730
Therefore, the lowest common multiple of 706,330,377,706 is 43916730.
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 330 x 377 x 706 = 62010422760
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
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
377 : 1, 13, 29, 377
706 : 1, 2, 353, 706
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,330,377,706, is 1.
Now, the common factors can be found like this.
706:2x 353
330:2x 3x 5x 11
377:13x 29
706:2x 353
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 353 = 1412
Therefore, the value for common factors is 1412.
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 = 62010422760/(1x1412)
LCM = 62010422760/1412
LCM = 43916730
Thus, we can understand that the LCM of 706,330,377,706 is 43916730.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 706, 330, 377, 706?
Answer: LCM of 706, 330, 377, 706 is 43916730.
2. How to calculate the LCM of 706, 330, 377, 706?
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, 330, 377, 706.
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}.