Given numbers are 494,523,562,548,724

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

The LCM of 494,523,562,548,724 is 3600510612868.

Find LCM of 494,523,562,548,724 with Prime Factorization

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

2 x 2 x 247 x 523 x 281 x 137 x 181 = 3600510612868

Therefore, the lowest common multiple of 494,523,562,548,724 is 3600510612868.

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.

494 x 523 x 562 x 548 x 724 = 57608169805888

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

523 : 1, 523

562 : 1, 2, 281, 562

548 : 1, 2, 4, 137, 274, 548

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,523,562,548,724, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

523:523

562:2x 281

548:2x 2x 137

724:2x 2x 181

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 2 = 16

Therefore, the value for common factors is 16.

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 = 57608169805888/(1x16)

LCM = 57608169805888/16

LCM = 3600510612868

Thus, we can understand that the LCM of 494,523,562,548,724 is 3600510612868.

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

• LCM of 528, 207, 362, 608, 907
• LCM of 479, 223, 878, 151, 182
• LCM of 311, 312, 518, 973, 651
• LCM of 278, 747, 529, 795, 848
• LCM of 558, 580, 545, 757, 912

1. What is the LCM of 494, 523, 562, 548, 724?

Answer: LCM of 494, 523, 562, 548, 724 is 3600510612868.

2. How to calculate the LCM of 494, 523, 562, 548, 724?

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 494, 523, 562, 548, 724.

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}.