Given numbers are 232,406,461,189

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

The LCM of 232,406,461,189 is 20213928.

Find LCM of 232,406,461,189 with Prime Factorization

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

2 x 7 x 29 x 4 x 1 x 461 x 27 = 20213928

Therefore, the lowest common multiple of 232,406,461,189 is 20213928.

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.

232 x 406 x 461 x 189 = 8206854768

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.

232 : 1, 2, 4, 8, 29, 58, 116, 232

406 : 1, 2, 7, 14, 29, 58, 203, 406

461 : 1, 461

189 : 1, 3, 7, 9, 21, 27, 63, 189

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,406,461,189, is 1.

Now, the common factors can be found like this.

232:2x 2x 2x 29

406:2x 7x 29

461:461

189:3x 3x 3x 7

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

2x 7x 29 = 406

Therefore, the value for common factors is 406.

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 = 8206854768/(1x406)

LCM = 8206854768/406

LCM = 20213928

Thus, we can understand that the LCM of 232,406,461,189 is 20213928.

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

• LCM of 562, 940, 222, 342
• LCM of 228, 194, 140, 826
• LCM of 155, 458, 704, 783
• LCM of 767, 420, 157, 945
• LCM of 262, 402, 936, 436

1. What is the LCM of 232, 406, 461, 189?

Answer: LCM of 232, 406, 461, 189 is 20213928.

2. How to calculate the LCM of 232, 406, 461, 189?

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 232, 406, 461, 189.

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}.