Given numbers are 470,281,402,456

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

The LCM of 470,281,402,456 is 2017501320.

Find LCM of 470,281,402,456 with Prime Factorization

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

2 x 3 x 235 x 281 x 67 x 76 = 2017501320

Therefore, the lowest common multiple of 470,281,402,456 is 2017501320.

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 281 x 402 x 456 = 24210015840

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

281 : 1, 281

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

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,281,402,456, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

281:281

402:2x 3x 67

456:2x 2x 2x 3x 19

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 3 = 12

Therefore, the value for common factors is 12.

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 = 24210015840/(1x12)

LCM = 24210015840/12

LCM = 2017501320

Thus, we can understand that the LCM of 470,281,402,456 is 2017501320.

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

• LCM of 309, 798, 420, 906
• LCM of 162, 912, 498, 381
• LCM of 132, 521, 110, 275
• LCM of 152, 807, 444, 589
• LCM of 309, 953, 519, 716

1. What is the LCM of 470, 281, 402, 456?

Answer: LCM of 470, 281, 402, 456 is 2017501320.

2. How to calculate the LCM of 470, 281, 402, 456?

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, 281, 402, 456.

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}.