Given numbers are 493,506,561,149

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

The LCM of 493,506,561,149 is 111507726.

Find LCM of 493,506,561,149 with Prime Factorization

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

11 x 17 x 29 x 46 x 3 x 149 = 111507726

Therefore, the lowest common multiple of 493,506,561,149 is 111507726.

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 506 x 561 x 149 = 20851944762

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

561 : 1, 3, 11, 17, 33, 51, 187, 561

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,506,561,149, is 1.

Now, the common factors can be found like this.

493:17x 29

506:2x 11x 23

561:3x 11x 17

149:149

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

11x 17 = 187

Therefore, the value for common factors is 187.

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 = 20851944762/(1x187)

LCM = 20851944762/187

LCM = 111507726

Thus, we can understand that the LCM of 493,506,561,149 is 111507726.

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

• LCM of 442, 695, 775, 487
• LCM of 660, 929, 916, 105
• LCM of 886, 724, 823, 657
• LCM of 332, 850, 268, 398
• LCM of 171, 613, 944, 377

1. What is the LCM of 493, 506, 561, 149?

Answer: LCM of 493, 506, 561, 149 is 111507726.

2. How to calculate the LCM of 493, 506, 561, 149?

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, 506, 561, 149.

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}.