Find the LCM of 706, 604, 874, 874 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, 604, 874, 874. So, keep reading to learn more.
Given numbers are 706,604,874,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,604,874,874 is 93173644.
Find LCM of 706,604,874,874 with Prime Factorization
2 | 706, 604, 874, 874 |
19 | 353, 302, 437, 437 |
23 | 353, 302, 23, 23 |
353, 302, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 23 x 353 x 302 x 1 x 1 = 93173644
Therefore, the lowest common multiple of 706,604,874,874 is 93173644.
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 604 x 874 x 874 = 325735059424
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
604 : 1, 2, 4, 151, 302, 604
874 : 1, 2, 19, 23, 38, 46, 437, 874
874 : 1, 2, 19, 23, 38, 46, 437, 874
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,604,874,874, is 2.
Now, the common factors can be found like this.
706:2x 353
604:2x 2x 151
874:2x 19x 23
874:2x 19x 23
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 19x 23 = 1748
Therefore, the value for common factors is 1748.
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 = 325735059424/(2x1748)
LCM = 325735059424/3496
LCM = 93173644
Thus, we can understand that the LCM of 706,604,874,874 is 93173644.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 706, 604, 874, 874?
Answer: LCM of 706, 604, 874, 874 is 93173644.
2. How to calculate the LCM of 706, 604, 874, 874?
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, 604, 874, 874.
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}.