Find the LCM of 706, 858, 352, 744 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, 858, 352, 744. So, keep reading to learn more.
Given numbers are 706,858,352,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,858,352,744 is 150225504.
Find LCM of 706,858,352,744 with Prime Factorization
2 | 706, 858, 352, 744 |
2 | 353, 429, 176, 372 |
2 | 353, 429, 88, 186 |
3 | 353, 429, 44, 93 |
11 | 353, 143, 44, 31 |
353, 13, 4, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 353 x 13 x 4 x 31 = 150225504
Therefore, the lowest common multiple of 706,858,352,744 is 150225504.
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 858 x 352 x 744 = 158638132224
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
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,858,352,744, is 2.
Now, the common factors can be found like this.
706:2x 353
858:2x 3x 11x 13
352:2x 2x 2x 2x 2x 11
744:2x 2x 2x 3x 31
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 2x 2x 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 158638132224/(2x528)
LCM = 158638132224/1056
LCM = 150225504
Thus, we can understand that the LCM of 706,858,352,744 is 150225504.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 706, 858, 352, 744?
Answer: LCM of 706, 858, 352, 744 is 150225504.
2. How to calculate the LCM of 706, 858, 352, 744?
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, 858, 352, 744.
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}.