Given numbers are 281,142,463,414

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

The LCM of 281,142,463,414 is 3824247582.

Find LCM of 281,142,463,414 with Prime Factorization

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

2 x 281 x 71 x 463 x 207 = 3824247582

Therefore, the lowest common multiple of 281,142,463,414 is 3824247582.

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.

281 x 142 x 463 x 414 = 7648495164

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.

281 : 1, 281

142 : 1, 2, 71, 142

463 : 1, 463

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 281,142,463,414, is 1.

Now, the common factors can be found like this.

281:281

142:2x 71

463:463

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 7648495164/(1x2)

LCM = 7648495164/2

LCM = 3824247582

Thus, we can understand that the LCM of 281,142,463,414 is 3824247582.

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

• LCM of 181, 219, 947, 283
• LCM of 472, 705, 974, 309
• LCM of 444, 320, 941, 430
• LCM of 268, 141, 357, 258
• LCM of 122, 715, 749, 180

1. What is the LCM of 281, 142, 463, 414?

Answer: LCM of 281, 142, 463, 414 is 3824247582.

2. How to calculate the LCM of 281, 142, 463, 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 281, 142, 463, 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}.