Given numbers are 142,608,757,456,497

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

The LCM of 142,608,757,456,497 is 686241696.

Find LCM of 142,608,757,456,497 with Prime Factorization

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

2 x 2 x 2 x 19 x 71 x 1 x 4 x 757 x 3 x 7 = 686241696

Therefore, the lowest common multiple of 142,608,757,456,497 is 686241696.

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.

142 x 608 x 757 x 456 x 497 = 14811840766464

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.

142 : 1, 2, 71, 142

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

757 : 1, 757

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,608,757,456,497, is 1.

Now, the common factors can be found like this.

142:2x 71

608:2x 2x 2x 2x 2x 19

757:757

456:2x 2x 2x 3x 19

497:7x 71

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 19x 71 = 21584

Therefore, the value for common factors is 21584.

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 = 14811840766464/(1x21584)

LCM = 14811840766464/21584

LCM = 686241696

Thus, we can understand that the LCM of 142,608,757,456,497 is 686241696.

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

• LCM of 294, 721, 596, 693, 504
• LCM of 270, 573, 459, 846, 285
• LCM of 814, 378, 402, 103, 565
• LCM of 396, 530, 837, 253, 222
• LCM of 472, 418, 833, 731, 404

1. What is the LCM of 142, 608, 757, 456, 497?

Answer: LCM of 142, 608, 757, 456, 497 is 686241696.

2. How to calculate the LCM of 142, 608, 757, 456, 497?

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 142, 608, 757, 456, 497.

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}.