Given numbers are 289,305,524,473,584

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

The LCM of 289,305,524,473,584 is 3189649522840.

Find LCM of 289,305,524,473,584 with Prime Factorization

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

2 x 2 x 289 x 305 x 131 x 473 x 146 = 3189649522840

Therefore, the lowest common multiple of 289,305,524,473,584 is 3189649522840.

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.

289 x 305 x 524 x 473 x 584 = 12758598091360

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.

289 : 1, 17, 289

305 : 1, 5, 61, 305

524 : 1, 2, 4, 131, 262, 524

473 : 1, 11, 43, 473

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,305,524,473,584, is 1.

Now, the common factors can be found like this.

289:17x 17

305:5x 61

524:2x 2x 131

473:11x 43

584:2x 2x 2x 73

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 12758598091360/(1x4)

LCM = 12758598091360/4

LCM = 3189649522840

Thus, we can understand that the LCM of 289,305,524,473,584 is 3189649522840.

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

• LCM of 644, 769, 868, 144, 151
• LCM of 558, 103, 873, 593, 755
• LCM of 920, 148, 779, 495, 388
• LCM of 350, 355, 998, 806, 229
• LCM of 554, 995, 171, 810, 503

1. What is the LCM of 289, 305, 524, 473, 584?

Answer: LCM of 289, 305, 524, 473, 584 is 3189649522840.

2. How to calculate the LCM of 289, 305, 524, 473, 584?

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 289, 305, 524, 473, 584.

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}.