Find the LCM of 861, 334, 858, 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 861, 334, 858, 706. So, keep reading to learn more.
Given numbers are 861,334,858,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,334,858,706 is 14516447946.
Find LCM of 861,334,858,706 with Prime Factorization
2 | 861, 334, 858, 706 |
3 | 861, 167, 429, 353 |
287, 167, 143, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 287 x 167 x 143 x 353 = 14516447946
Therefore, the lowest common multiple of 861,334,858,706 is 14516447946.
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.
861 x 334 x 858 x 706 = 174197375352
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
334 : 1, 2, 167, 334
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
706 : 1, 2, 353, 706
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,334,858,706, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
334:2x 167
858:2x 3x 11x 13
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 3 = 12
Therefore, the value for common factors is 12.
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 = 174197375352/(1x12)
LCM = 174197375352/12
LCM = 14516447946
Thus, we can understand that the LCM of 861,334,858,706 is 14516447946.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 861, 334, 858, 706?
Answer: LCM of 861, 334, 858, 706 is 14516447946.
2. How to calculate the LCM of 861, 334, 858, 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 861, 334, 858, 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}.