Given numbers are 460,134,471,469

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

The LCM of 460,134,471,469 is 101613540.

Find LCM of 460,134,471,469 with Prime Factorization

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

2 x 67 x 230 x 1 x 471 x 7 = 101613540

Therefore, the lowest common multiple of 460,134,471,469 is 101613540.

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 134 x 471 x 469 = 13616214360

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

134 : 1, 2, 67, 134

471 : 1, 3, 157, 471

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,134,471,469, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

134:2x 67

471:3x 157

469:7x 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 67 = 134

Therefore, the value for common factors is 134.

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 = 13616214360/(1x134)

LCM = 13616214360/134

LCM = 101613540

Thus, we can understand that the LCM of 460,134,471,469 is 101613540.

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

• LCM of 632, 823, 622, 630
• LCM of 336, 843, 881, 636
• LCM of 796, 824, 323, 732
• LCM of 917, 333, 146, 720
• LCM of 202, 775, 385, 382

1. What is the LCM of 460, 134, 471, 469?

Answer: LCM of 460, 134, 471, 469 is 101613540.

2. How to calculate the LCM of 460, 134, 471, 469?

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, 134, 471, 469.

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}.