Given numbers are 490,131,106,586

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

The LCM of 490,131,106,586 is 996806510.

Find LCM of 490,131,106,586 with Prime Factorization

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

2 x 245 x 131 x 53 x 293 = 996806510

Therefore, the lowest common multiple of 490,131,106,586 is 996806510.

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.

490 x 131 x 106 x 586 = 3987226040

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.

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

131 : 1, 131

106 : 1, 2, 53, 106

586 : 1, 2, 293, 586

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,131,106,586, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

131:131

106:2x 53

586:2x 293

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 3987226040/(1x4)

LCM = 3987226040/4

LCM = 996806510

Thus, we can understand that the LCM of 490,131,106,586 is 996806510.

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

• LCM of 682, 621, 494, 894
• LCM of 361, 904, 432, 653
• LCM of 442, 222, 708, 688
• LCM of 873, 320, 674, 197
• LCM of 122, 626, 570, 968

1. What is the LCM of 490, 131, 106, 586?

Answer: LCM of 490, 131, 106, 586 is 996806510.

2. How to calculate the LCM of 490, 131, 106, 586?

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 490, 131, 106, 586.

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}.