Given numbers are 285,514,528,746

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

The LCM of 285,514,528,746 is 4808387760.

Find LCM of 285,514,528,746 with Prime Factorization

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

2 x 3 x 95 x 257 x 88 x 373 = 4808387760

Therefore, the lowest common multiple of 285,514,528,746 is 4808387760.

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.

285 x 514 x 528 x 746 = 57700653120

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.

285 : 1, 3, 5, 15, 19, 57, 95, 285

514 : 1, 2, 257, 514

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,514,528,746, is 1.

Now, the common factors can be found like this.

285:3x 5x 19

514:2x 257

528:2x 2x 2x 2x 3x 11

746:2x 373

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 3 = 12

Therefore, the value for common factors is 12.

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 = 57700653120/(1x12)

LCM = 57700653120/12

LCM = 4808387760

Thus, we can understand that the LCM of 285,514,528,746 is 4808387760.

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

• LCM of 297, 879, 927, 711
• LCM of 884, 140, 864, 531
• LCM of 694, 753, 478, 566
• LCM of 132, 745, 100, 569
• LCM of 289, 758, 195, 672

1. What is the LCM of 285, 514, 528, 746?

Answer: LCM of 285, 514, 528, 746 is 4808387760.

2. How to calculate the LCM of 285, 514, 528, 746?

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 285, 514, 528, 746.

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}.