Given numbers are 470,438,832,557,728

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

The LCM of 470,438,832,557,728 is 166950813120.

Find LCM of 470,438,832,557,728 with Prime Factorization

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

2 x 2 x 2 x 13 x 235 x 219 x 8 x 557 x 7 = 166950813120

Therefore, the lowest common multiple of 470,438,832,557,728 is 166950813120.

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.

470 x 438 x 832 x 557 x 728 = 69451538257920

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

438 : 1, 2, 3, 6, 73, 146, 219, 438

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

557 : 1, 557

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,438,832,557,728, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

438:2x 3x 73

832:2x 2x 2x 2x 2x 2x 13

557:557

728:2x 2x 2x 7x 13

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 13 = 416

Therefore, the value for common factors is 416.

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 = 69451538257920/(1x416)

LCM = 69451538257920/416

LCM = 166950813120

Thus, we can understand that the LCM of 470,438,832,557,728 is 166950813120.

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

• LCM of 933, 756, 649, 464, 675
• LCM of 802, 432, 858, 512, 607
• LCM of 531, 940, 464, 574, 673
• LCM of 605, 355, 189, 906, 854
• LCM of 792, 916, 674, 939, 334

1. What is the LCM of 470, 438, 832, 557, 728?

Answer: LCM of 470, 438, 832, 557, 728 is 166950813120.

2. How to calculate the LCM of 470, 438, 832, 557, 728?

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 470, 438, 832, 557, 728.

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}.