Given numbers are 189,586,208,325

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

The LCM of 189,586,208,325 is 287960400.

Find LCM of 189,586,208,325 with Prime Factorization

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

2 x 13 x 189 x 293 x 8 x 25 = 287960400

Therefore, the lowest common multiple of 189,586,208,325 is 287960400.

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.

189 x 586 x 208 x 325 = 7486970400

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.

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

586 : 1, 2, 293, 586

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

325 : 1, 5, 13, 25, 65, 325

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,586,208,325, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

586:2x 293

208:2x 2x 2x 2x 13

325:5x 5x 13

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 7486970400/(1x26)

LCM = 7486970400/26

LCM = 287960400

Thus, we can understand that the LCM of 189,586,208,325 is 287960400.

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

• LCM of 971, 834, 816, 785
• LCM of 641, 192, 486, 693
• LCM of 429, 754, 244, 688
• LCM of 577, 126, 772, 464
• LCM of 178, 305, 671, 634

1. What is the LCM of 189, 586, 208, 325?

Answer: LCM of 189, 586, 208, 325 is 287960400.

2. How to calculate the LCM of 189, 586, 208, 325?

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 189, 586, 208, 325.

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}.