Given numbers are 283,21,675

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

The LCM of 283,21,675 is 1337175.

Find LCM of 283,21,675 with Prime Factorization

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

3 x 283 x 7 x 225 = 1337175

Therefore, the lowest common multiple of 283,21,675 is 1337175.

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.

283 x 21 x 675 = 4011525

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.

283 : 1, 283

21 : 1, 3, 7, 21

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,21,675, is 1.

Now, the common factors can be found like this.

283:283

21:3x 7

675:3x 3x 3x 5x 5

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

3 = 3

Therefore, the value for common factors is 3.

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 = 4011525/(1x3)

LCM = 4011525/3

LCM = 1337175

Thus, we can understand that the LCM of 283,21,675 is 1337175.

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

• LCM of 270, 99, 211
• LCM of 410, 75, 348
• LCM of 109, 24, 309
• LCM of 979, 61, 974
• LCM of 665, 65, 964

1. What is the LCM of 283, 21, 675?

Answer: LCM of 283, 21, 675 is 1337175.

2. How to calculate the LCM of 283, 21, 675?

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 283, 21, 675.

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}.