Given numbers are 180,552,202,780

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

The LCM of 180,552,202,780 is 10871640.

Find LCM of 180,552,202,780 with Prime Factorization

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

2 x 2 x 3 x 5 x 3 x 46 x 101 x 13 = 10871640

Therefore, the lowest common multiple of 180,552,202,780 is 10871640.

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.

180 x 552 x 202 x 780 = 15655161600

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.

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

202 : 1, 2, 101, 202

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,552,202,780, is 2.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

552:2x 2x 2x 3x 23

202:2x 101

780:2x 2x 3x 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 2x 2x 2x 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 15655161600/(2x720)

LCM = 15655161600/1440

LCM = 10871640

Thus, we can understand that the LCM of 180,552,202,780 is 10871640.

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

• LCM of 565, 600, 505, 662
• LCM of 399, 573, 513, 356
• LCM of 928, 642, 185, 743
• LCM of 595, 358, 598, 418
• LCM of 157, 911, 499, 285

1. What is the LCM of 180, 552, 202, 780?

Answer: LCM of 180, 552, 202, 780 is 10871640.

2. How to calculate the LCM of 180, 552, 202, 780?

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 180, 552, 202, 780.

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}.