Given numbers are 460,622,504,614

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

The LCM of 460,622,504,614 is 5533846920.

Find LCM of 460,622,504,614 with Prime Factorization

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

2 x 2 x 115 x 311 x 126 x 307 = 5533846920

Therefore, the lowest common multiple of 460,622,504,614 is 5533846920.

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 622 x 504 x 614 = 88541550720

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

622 : 1, 2, 311, 622

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

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,622,504,614, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

622:2x 311

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

614:2x 307

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 2 = 8

Therefore, the value for common factors is 8.

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 = 88541550720/(2x8)

LCM = 88541550720/16

LCM = 5533846920

Thus, we can understand that the LCM of 460,622,504,614 is 5533846920.

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

• LCM of 104, 135, 288, 572
• LCM of 954, 285, 641, 226
• LCM of 256, 996, 309, 321
• LCM of 767, 577, 306, 831
• LCM of 918, 835, 357, 184

1. What is the LCM of 460, 622, 504, 614?

Answer: LCM of 460, 622, 504, 614 is 5533846920.

2. How to calculate the LCM of 460, 622, 504, 614?

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, 622, 504, 614.

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}.