Given numbers are 321,254,117,586

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

The LCM of 321,254,117,586 is 931689018.

Find LCM of 321,254,117,586 with Prime Factorization

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

2 x 3 x 107 x 127 x 39 x 293 = 931689018

Therefore, the lowest common multiple of 321,254,117,586 is 931689018.

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.

321 x 254 x 117 x 586 = 5590134108

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.

321 : 1, 3, 107, 321

254 : 1, 2, 127, 254

117 : 1, 3, 9, 13, 39, 117

586 : 1, 2, 293, 586

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,254,117,586, is 1.

Now, the common factors can be found like this.

321:3x 107

254:2x 127

117:3x 3x 13

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 3 = 6

Therefore, the value for common factors is 6.

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 = 5590134108/(1x6)

LCM = 5590134108/6

LCM = 931689018

Thus, we can understand that the LCM of 321,254,117,586 is 931689018.

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

• LCM of 593, 442, 735, 495
• LCM of 156, 749, 392, 683
• LCM of 668, 611, 848, 996
• LCM of 963, 321, 261, 909
• LCM of 220, 294, 786, 162

1. What is the LCM of 321, 254, 117, 586?

Answer: LCM of 321, 254, 117, 586 is 931689018.

2. How to calculate the LCM of 321, 254, 117, 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 321, 254, 117, 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}.