Given numbers are 472,614,560,920

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

The LCM of 472,614,560,920 is 233295440.

Find LCM of 472,614,560,920 with Prime Factorization

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

2 x 2 x 2 x 5 x 59 x 307 x 14 x 23 = 233295440

Therefore, the lowest common multiple of 472,614,560,920 is 233295440.

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.

472 x 614 x 560 x 920 = 149309081600

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.

472 : 1, 2, 4, 8, 59, 118, 236, 472

614 : 1, 2, 307, 614

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,614,560,920, is 2.

Now, the common factors can be found like this.

472:2x 2x 2x 59

614:2x 307

560:2x 2x 2x 2x 5x 7

920:2x 2x 2x 5x 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 2x 2x 5 = 320

Therefore, the value for common factors is 320.

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 = 149309081600/(2x320)

LCM = 149309081600/640

LCM = 233295440

Thus, we can understand that the LCM of 472,614,560,920 is 233295440.

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

• LCM of 971, 964, 129, 264
• LCM of 810, 179, 848, 903
• LCM of 611, 400, 804, 197
• LCM of 652, 882, 519, 473
• LCM of 601, 659, 257, 932

1. What is the LCM of 472, 614, 560, 920?

Answer: LCM of 472, 614, 560, 920 is 233295440.

2. How to calculate the LCM of 472, 614, 560, 920?

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 472, 614, 560, 920.

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}.