Given numbers are 180,370,277,349

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

The LCM of 180,370,277,349 is 643842180.

Find LCM of 180,370,277,349 with Prime Factorization

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

2 x 5 x 18 x 37 x 277 x 349 = 643842180

Therefore, the lowest common multiple of 180,370,277,349 is 643842180.

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 370 x 277 x 349 = 6438421800

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

370 : 1, 2, 5, 10, 37, 74, 185, 370

277 : 1, 277

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,370,277,349, is 1.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

370:2x 5x 37

277:277

349:349

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 6438421800/(1x10)

LCM = 6438421800/10

LCM = 643842180

Thus, we can understand that the LCM of 180,370,277,349 is 643842180.

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

• LCM of 649, 390, 220, 118
• LCM of 904, 120, 685, 105
• LCM of 406, 505, 540, 436
• LCM of 205, 507, 471, 514
• LCM of 696, 402, 287, 903

1. What is the LCM of 180, 370, 277, 349?

Answer: LCM of 180, 370, 277, 349 is 643842180.

2. How to calculate the LCM of 180, 370, 277, 349?

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, 370, 277, 349.

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}.