Given numbers are 480,580,160,236,277

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

The LCM of 480,580,160,236,277 is 227494560.

Find LCM of 480,580,160,236,277 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 5 x 3 x 29 x 1 x 59 x 277 = 227494560

Therefore, the lowest common multiple of 480,580,160,236,277 is 227494560.

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.

480 x 580 x 160 x 236 x 277 = 2911930368000

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

236 : 1, 2, 4, 59, 118, 236

277 : 1, 277

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,580,160,236,277, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

580:2x 2x 5x 29

160:2x 2x 2x 2x 2x 5

236:2x 2x 59

277:277

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 2x 2x 2x 2x 2x 5x 5 = 12800

Therefore, the value for common factors is 12800.

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 = 2911930368000/(1x12800)

LCM = 2911930368000/12800

LCM = 227494560

Thus, we can understand that the LCM of 480,580,160,236,277 is 227494560.

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

• LCM of 974, 181, 324, 223, 333
• LCM of 757, 468, 297, 416, 418
• LCM of 838, 737, 123, 907, 256
• LCM of 759, 479, 661, 374, 543
• LCM of 670, 869, 565, 443, 515

1. What is the LCM of 480, 580, 160, 236, 277?

Answer: LCM of 480, 580, 160, 236, 277 is 227494560.

2. How to calculate the LCM of 480, 580, 160, 236, 277?

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 480, 580, 160, 236, 277.

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}.