Given numbers are 608,210,143,214,421

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

The LCM of 608,210,143,214,421 is 411239468640.

Find LCM of 608,210,143,214,421 with Prime Factorization

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

2 x 304 x 105 x 143 x 107 x 421 = 411239468640

Therefore, the lowest common multiple of 608,210,143,214,421 is 411239468640.

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.

608 x 210 x 143 x 214 x 421 = 1644957874560

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.

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

143 : 1, 11, 13, 143

214 : 1, 2, 107, 214

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,210,143,214,421, is 1.

Now, the common factors can be found like this.

608:2x 2x 2x 2x 2x 19

210:2x 3x 5x 7

143:11x 13

214:2x 107

421:421

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1644957874560/(1x4)

LCM = 1644957874560/4

LCM = 411239468640

Thus, we can understand that the LCM of 608,210,143,214,421 is 411239468640.

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

• LCM of 776, 669, 897, 929, 904
• LCM of 990, 526, 628, 702, 152
• LCM of 472, 859, 776, 120, 585
• LCM of 499, 161, 957, 643, 676
• LCM of 278, 403, 493, 912, 601

1. What is the LCM of 608, 210, 143, 214, 421?

Answer: LCM of 608, 210, 143, 214, 421 is 411239468640.

2. How to calculate the LCM of 608, 210, 143, 214, 421?

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 608, 210, 143, 214, 421.

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}.