Given numbers are 460,279,543,426,402

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

The LCM of 460,279,543,426,402 is 110502921780.

Find LCM of 460,279,543,426,402 with Prime Factorization

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

2 x 3 x 230 x 93 x 181 x 71 x 67 = 110502921780

Therefore, the lowest common multiple of 460,279,543,426,402 is 110502921780.

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 279 x 543 x 426 x 402 = 11934315552240

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

279 : 1, 3, 9, 31, 93, 279

543 : 1, 3, 181, 543

426 : 1, 2, 3, 6, 71, 142, 213, 426

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,279,543,426,402, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

279:3x 3x 31

543:3x 181

426:2x 3x 71

402:2x 3x 67

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 11934315552240/(1x108)

LCM = 11934315552240/108

LCM = 110502921780

Thus, we can understand that the LCM of 460,279,543,426,402 is 110502921780.

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

• LCM of 818, 181, 751, 870, 336
• LCM of 196, 134, 870, 222, 817
• LCM of 273, 229, 924, 972, 689
• LCM of 357, 453, 312, 355, 427
• LCM of 122, 152, 322, 442, 314

1. What is the LCM of 460, 279, 543, 426, 402?

Answer: LCM of 460, 279, 543, 426, 402 is 110502921780.

2. How to calculate the LCM of 460, 279, 543, 426, 402?

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, 279, 543, 426, 402.

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}.