Given numbers are 470,504,349,464

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

The LCM of 470,504,349,464 is 2397462480.

Find LCM of 470,504,349,464 with Prime Factorization

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

2 x 2 x 2 x 235 x 63 x 349 x 58 = 2397462480

Therefore, the lowest common multiple of 470,504,349,464 is 2397462480.

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 504 x 349 x 464 = 38359399680

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

349 : 1, 349

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,504,349,464, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

504:2x 2x 2x 3x 3x 7

349:349

464:2x 2x 2x 2x 29

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 2 = 16

Therefore, the value for common factors is 16.

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 = 38359399680/(1x16)

LCM = 38359399680/16

LCM = 2397462480

Thus, we can understand that the LCM of 470,504,349,464 is 2397462480.

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

• LCM of 786, 980, 986, 977
• LCM of 716, 929, 823, 949
• LCM of 848, 502, 136, 107
• LCM of 284, 530, 255, 459
• LCM of 989, 552, 956, 890

1. What is the LCM of 470, 504, 349, 464?

Answer: LCM of 470, 504, 349, 464 is 2397462480.

2. How to calculate the LCM of 470, 504, 349, 464?

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, 504, 349, 464.

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}.