Given numbers are 441,128,416,281

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

The LCM of 441,128,416,281 is 206204544.

Find LCM of 441,128,416,281 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 441 x 4 x 13 x 281 = 206204544

Therefore, the lowest common multiple of 441,128,416,281 is 206204544.

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.

441 x 128 x 416 x 281 = 6598545408

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.

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

128 : 1, 2, 4, 8, 16, 32, 64, 128

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

281 : 1, 281

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,128,416,281, is 1.

Now, the common factors can be found like this.

441:3x 3x 7x 7

128:2x 2x 2x 2x 2x 2x 2

416:2x 2x 2x 2x 2x 13

281:281

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 6598545408/(1x32)

LCM = 6598545408/32

LCM = 206204544

Thus, we can understand that the LCM of 441,128,416,281 is 206204544.

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

• LCM of 803, 914, 168, 538
• LCM of 556, 905, 610, 863
• LCM of 728, 424, 915, 880
• LCM of 593, 294, 514, 347
• LCM of 587, 335, 484, 160

1. What is the LCM of 441, 128, 416, 281?

Answer: LCM of 441, 128, 416, 281 is 206204544.

2. How to calculate the LCM of 441, 128, 416, 281?

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 441, 128, 416, 281.

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}.