Given numbers are 584,146,386,514

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

The LCM of 584,146,386,514 is 28966984.

Find LCM of 584,146,386,514 with Prime Factorization

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

2 x 73 x 4 x 1 x 193 x 257 = 28966984

Therefore, the lowest common multiple of 584,146,386,514 is 28966984.

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.

584 x 146 x 386 x 514 = 16916718656

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.

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

146 : 1, 2, 73, 146

386 : 1, 2, 193, 386

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,146,386,514, is 2.

Now, the common factors can be found like this.

584:2x 2x 2x 73

146:2x 73

386:2x 193

514:2x 257

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 73 = 292

Therefore, the value for common factors is 292.

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 = 16916718656/(2x292)

LCM = 16916718656/584

LCM = 28966984

Thus, we can understand that the LCM of 584,146,386,514 is 28966984.

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

• LCM of 125, 667, 468, 761
• LCM of 635, 860, 103, 204
• LCM of 397, 205, 525, 454
• LCM of 623, 729, 858, 408
• LCM of 961, 569, 778, 926

1. What is the LCM of 584, 146, 386, 514?

Answer: LCM of 584, 146, 386, 514 is 28966984.

2. How to calculate the LCM of 584, 146, 386, 514?

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 584, 146, 386, 514.

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}.