Given numbers are 460,169,956,478,545

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

The LCM of 460,169,956,478,545 is 2025204740.

Find LCM of 460,169,956,478,545 with Prime Factorization

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

2 x 2 x 5 x 239 x 23 x 169 x 1 x 1 x 109 = 2025204740

Therefore, the lowest common multiple of 460,169,956,478,545 is 2025204740.

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 169 x 956 x 478 x 545 = 19360957314400

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

169 : 1, 13, 169

956 : 1, 2, 4, 239, 478, 956

478 : 1, 2, 239, 478

545 : 1, 5, 109, 545

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,169,956,478,545, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

169:13x 13

956:2x 2x 239

478:2x 239

545:5x 109

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 5x 239 = 9560

Therefore, the value for common factors is 9560.

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 = 19360957314400/(1x9560)

LCM = 19360957314400/9560

LCM = 2025204740

Thus, we can understand that the LCM of 460,169,956,478,545 is 2025204740.

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

• LCM of 390, 970, 638, 903, 552
• LCM of 614, 691, 956, 890, 481
• LCM of 864, 184, 231, 898, 722
• LCM of 937, 568, 561, 187, 795
• LCM of 242, 388, 612, 811, 320

1. What is the LCM of 460, 169, 956, 478, 545?

Answer: LCM of 460, 169, 956, 478, 545 is 2025204740.

2. How to calculate the LCM of 460, 169, 956, 478, 545?

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, 169, 956, 478, 545.

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}.