Given numbers are 230,553,283,264,552

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

The LCM of 230,553,283,264,552 is 4751309640.

Find LCM of 230,553,283,264,552 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 5 x 553 x 283 x 11 x 1 = 4751309640

Therefore, the lowest common multiple of 230,553,283,264,552 is 4751309640.

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.

230 x 553 x 283 x 264 x 552 = 5245445842560

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

553 : 1, 7, 79, 553

283 : 1, 283

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

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,553,283,264,552, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

553:7x 79

283:283

264:2x 2x 2x 3x 11

552:2x 2x 2x 3x 23

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 3x 23 = 1104

Therefore, the value for common factors is 1104.

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 = 5245445842560/(1x1104)

LCM = 5245445842560/1104

LCM = 4751309640

Thus, we can understand that the LCM of 230,553,283,264,552 is 4751309640.

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

• LCM of 914, 871, 263, 123, 593
• LCM of 930, 448, 355, 587, 621
• LCM of 549, 892, 212, 225, 584
• LCM of 946, 594, 842, 999, 944
• LCM of 627, 382, 788, 874, 362

1. What is the LCM of 230, 553, 283, 264, 552?

Answer: LCM of 230, 553, 283, 264, 552 is 4751309640.

2. How to calculate the LCM of 230, 553, 283, 264, 552?

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 230, 553, 283, 264, 552.

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}.