Given numbers are 230,390,182,173,572

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

The LCM of 230,390,182,173,572 is 238978740.

Find LCM of 230,390,182,173,572 with Prime Factorization

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

2 x 5 x 13 x 23 x 3 x 7 x 173 x 22 = 238978740

Therefore, the lowest common multiple of 230,390,182,173,572 is 238978740.

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.

230 x 390 x 182 x 173 x 572 = 1615496282400

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

182 : 1, 2, 7, 13, 14, 26, 91, 182

173 : 1, 173

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,390,182,173,572, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

390:2x 3x 5x 13

182:2x 7x 13

173:173

572:2x 2x 11x 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 2x 2x 5x 13x 13 = 6760

Therefore, the value for common factors is 6760.

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 = 1615496282400/(1x6760)

LCM = 1615496282400/6760

LCM = 238978740

Thus, we can understand that the LCM of 230,390,182,173,572 is 238978740.

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

• LCM of 632, 786, 947, 392, 859
• LCM of 604, 372, 215, 602, 376
• LCM of 987, 976, 669, 795, 870
• LCM of 456, 480, 489, 355, 834
• LCM of 309, 419, 937, 673, 397

1. What is the LCM of 230, 390, 182, 173, 572?

Answer: LCM of 230, 390, 182, 173, 572 is 238978740.

2. How to calculate the LCM of 230, 390, 182, 173, 572?

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 230, 390, 182, 173, 572.

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}.