Given numbers are 983,712,214,410,438

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 983,712,214,410,438 is 3362135908440.

Find LCM of 983,712,214,410,438 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 983 x 356 x 107 x 205 x 219 = 3362135908440

Therefore, the lowest common multiple of 983,712,214,410,438 is 3362135908440.

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.

983 x 712 x 214 x 410 x 438 = 26897087267520

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.

983 : 1, 983

712 : 1, 2, 4, 8, 89, 178, 356, 712

214 : 1, 2, 107, 214

410 : 1, 2, 5, 10, 41, 82, 205, 410

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,712,214,410,438, is 1.

Now, the common factors can be found like this.

983:983

712:2x 2x 2x 89

214:2x 107

410:2x 5x 41

438:2x 3x 73

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 2 = 8

Therefore, the value for common factors is 8.

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 = 26897087267520/(1x8)

LCM = 26897087267520/8

LCM = 3362135908440

Thus, we can understand that the LCM of 983,712,214,410,438 is 3362135908440.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 540, 505, 406, 764, 606
• LCM of 588, 455, 258, 547, 872
• LCM of 421, 779, 239, 641, 515
• LCM of 632, 114, 815, 992, 870
• LCM of 595, 324, 864, 186, 661

1. What is the LCM of 983, 712, 214, 410, 438?

Answer: LCM of 983, 712, 214, 410, 438 is 3362135908440.

2. How to calculate the LCM of 983, 712, 214, 410, 438?

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 983, 712, 214, 410, 438.

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}.