Find the LCM of 966, 926, 361, 404, 414 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 966, 926, 361, 404, 414. So, keep reading to learn more.
Given numbers are 966,926,361,404,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,926,361,404,414 is 97844843628.
Find LCM of 966,926,361,404,414 with Prime Factorization
2 | 966, 926, 361, 404, 414 |
3 | 483, 463, 361, 202, 207 |
23 | 161, 463, 361, 202, 69 |
7, 463, 361, 202, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 7 x 463 x 361 x 202 x 3 = 97844843628
Therefore, the lowest common multiple of 966,926,361,404,414 is 97844843628.
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.
966 x 926 x 361 x 404 x 414 = 54010353682656
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.
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
926 : 1, 2, 463, 926
361 : 1, 19, 361
404 : 1, 2, 4, 101, 202, 404
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,926,361,404,414, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
926:2x 463
361:19x 19
404:2x 2x 101
414:2x 3x 3x 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 2x 3x 23 = 552
Therefore, the value for common factors is 552.
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 = 54010353682656/(1x552)
LCM = 54010353682656/552
LCM = 97844843628
Thus, we can understand that the LCM of 966,926,361,404,414 is 97844843628.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 966, 926, 361, 404, 414?
Answer: LCM of 966, 926, 361, 404, 414 is 97844843628.
2. How to calculate the LCM of 966, 926, 361, 404, 414?
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 966, 926, 361, 404, 414.
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}.