Given numbers are 493,203,567,49

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

The LCM of 493,203,567,49 is 1956717.

Find LCM of 493,203,567,49 with Prime Factorization

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

7 x 29 x 17 x 1 x 81 x 7 = 1956717

Therefore, the lowest common multiple of 493,203,567,49 is 1956717.

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.

493 x 203 x 567 x 49 = 2780494857

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.

493 : 1, 17, 29, 493

203 : 1, 7, 29, 203

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

49 : 1, 7, 49

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,203,567,49, is 1.

Now, the common factors can be found like this.

493:17x 29

203:7x 29

567:3x 3x 3x 3x 7

49:7x 7

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

7x 7x 29 = 1421

Therefore, the value for common factors is 1421.

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 = 2780494857/(1x1421)

LCM = 2780494857/1421

LCM = 1956717

Thus, we can understand that the LCM of 493,203,567,49 is 1956717.

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

• LCM of 785, 124, 308, 56
• LCM of 582, 298, 218, 10
• LCM of 626, 967, 369, 26
• LCM of 710, 442, 287, 11
• LCM of 223, 154, 536, 14

1. What is the LCM of 493, 203, 567, 49?

Answer: LCM of 493, 203, 567, 49 is 1956717.

2. How to calculate the LCM of 493, 203, 567, 49?

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 493, 203, 567, 49.

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}.