Given numbers are 460,523,536,372,124

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

The LCM of 460,523,536,372,124 is 2998107960.

Find LCM of 460,523,536,372,124 with Prime Factorization

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

2 x 2 x 31 x 115 x 523 x 134 x 3 x 1 = 2998107960

Therefore, the lowest common multiple of 460,523,536,372,124 is 2998107960.

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 523 x 536 x 372 x 124 = 5948246192640

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

523 : 1, 523

536 : 1, 2, 4, 8, 67, 134, 268, 536

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

124 : 1, 2, 4, 31, 62, 124

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,523,536,372,124, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

523:523

536:2x 2x 2x 67

372:2x 2x 3x 31

124:2x 2x 31

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 2x 2x 2x 31 = 1984

Therefore, the value for common factors is 1984.

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 = 5948246192640/(1x1984)

LCM = 5948246192640/1984

LCM = 2998107960

Thus, we can understand that the LCM of 460,523,536,372,124 is 2998107960.

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

• LCM of 744, 784, 873, 562, 223
• LCM of 543, 533, 559, 192, 985
• LCM of 915, 556, 569, 770, 671
• LCM of 479, 601, 497, 743, 655
• LCM of 374, 452, 191, 426, 560

1. What is the LCM of 460, 523, 536, 372, 124?

Answer: LCM of 460, 523, 536, 372, 124 is 2998107960.

2. How to calculate the LCM of 460, 523, 536, 372, 124?

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, 523, 536, 372, 124.

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}.