Given numbers are 193,145,212,588

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

The LCM of 193,145,212,588 is 872124540.

Find LCM of 193,145,212,588 with Prime Factorization

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

2 x 2 x 193 x 145 x 53 x 147 = 872124540

Therefore, the lowest common multiple of 193,145,212,588 is 872124540.

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.

193 x 145 x 212 x 588 = 3488498160

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.

193 : 1, 193

145 : 1, 5, 29, 145

212 : 1, 2, 4, 53, 106, 212

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,145,212,588, is 1.

Now, the common factors can be found like this.

193:193

145:5x 29

212:2x 2x 53

588:2x 2x 3x 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.

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 = 3488498160/(1x4)

LCM = 3488498160/4

LCM = 872124540

Thus, we can understand that the LCM of 193,145,212,588 is 872124540.

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

• LCM of 187, 459, 299, 575
• LCM of 805, 188, 224, 948
• LCM of 851, 359, 464, 382
• LCM of 714, 625, 348, 258
• LCM of 223, 919, 572, 724

1. What is the LCM of 193, 145, 212, 588?

Answer: LCM of 193, 145, 212, 588 is 872124540.

2. How to calculate the LCM of 193, 145, 212, 588?

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 193, 145, 212, 588.

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}.