Given numbers are 434,419,472,460

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

The LCM of 434,419,472,460 is 4935300440.

Find LCM of 434,419,472,460 with Prime Factorization

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

2 x 2 x 217 x 419 x 118 x 115 = 4935300440

Therefore, the lowest common multiple of 434,419,472,460 is 4935300440.

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.

434 x 419 x 472 x 460 = 39482403520

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.

434 : 1, 2, 7, 14, 31, 62, 217, 434

419 : 1, 419

472 : 1, 2, 4, 8, 59, 118, 236, 472

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,419,472,460, is 1.

Now, the common factors can be found like this.

434:2x 7x 31

419:419

472:2x 2x 2x 59

460:2x 2x 5x 23

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 = 39482403520/(1x8)

LCM = 39482403520/8

LCM = 4935300440

Thus, we can understand that the LCM of 434,419,472,460 is 4935300440.

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

• LCM of 106, 137, 583, 139
• LCM of 984, 287, 355, 946
• LCM of 160, 985, 613, 498
• LCM of 677, 112, 954, 592
• LCM of 912, 550, 469, 142

1. What is the LCM of 434, 419, 472, 460?

Answer: LCM of 434, 419, 472, 460 is 4935300440.

2. How to calculate the LCM of 434, 419, 472, 460?

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 434, 419, 472, 460.

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}.