Given numbers are 460,854,201,874,728

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

The LCM of 460,854,201,874,728 is 19503327480.

Find LCM of 460,854,201,874,728 with Prime Factorization

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

2 x 2 x 7 x 23 x 5 x 61 x 201 x 19 x 26 = 19503327480

Therefore, the lowest common multiple of 460,854,201,874,728 is 19503327480.

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.

460 x 854 x 201 x 874 x 728 = 50240571588480

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

854 : 1, 2, 7, 14, 61, 122, 427, 854

201 : 1, 3, 67, 201

874 : 1, 2, 19, 23, 38, 46, 437, 874

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 460,854,201,874,728, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

854:2x 7x 61

201:3x 67

874:2x 19x 23

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 7x 23 = 2576

Therefore, the value for common factors is 2576.

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 = 50240571588480/(1x2576)

LCM = 50240571588480/2576

LCM = 19503327480

Thus, we can understand that the LCM of 460,854,201,874,728 is 19503327480.

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

• LCM of 646, 921, 572, 343, 935
• LCM of 860, 593, 384, 988, 605
• LCM of 652, 979, 821, 363, 487
• LCM of 578, 767, 624, 971, 847
• LCM of 188, 364, 421, 894, 978

1. What is the LCM of 460, 854, 201, 874, 728?

Answer: LCM of 460, 854, 201, 874, 728 is 19503327480.

2. How to calculate the LCM of 460, 854, 201, 874, 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 460, 854, 201, 874, 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}.