Given numbers are 731,473,138,688,146

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

The LCM of 731,473,138,688,146 is 648040272.

Find LCM of 731,473,138,688,146 with Prime Factorization

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

2 x 43 x 17 x 11 x 69 x 8 x 73 = 648040272

Therefore, the lowest common multiple of 731,473,138,688,146 is 648040272.

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.

731 x 473 x 138 x 688 x 146 = 4792905851712

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.

731 : 1, 17, 43, 731

473 : 1, 11, 43, 473

138 : 1, 2, 3, 6, 23, 46, 69, 138

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

146 : 1, 2, 73, 146

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,473,138,688,146, is 1.

Now, the common factors can be found like this.

731:17x 43

473:11x 43

138:2x 3x 23

688:2x 2x 2x 2x 43

146:2x 73

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 43x 43 = 7396

Therefore, the value for common factors is 7396.

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 = 4792905851712/(1x7396)

LCM = 4792905851712/7396

LCM = 648040272

Thus, we can understand that the LCM of 731,473,138,688,146 is 648040272.

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

• LCM of 581, 800, 116, 335, 211
• LCM of 370, 739, 239, 188, 830
• LCM of 112, 733, 643, 854, 242
• LCM of 209, 999, 653, 783, 229
• LCM of 472, 829, 309, 506, 598

1. What is the LCM of 731, 473, 138, 688, 146?

Answer: LCM of 731, 473, 138, 688, 146 is 648040272.

2. How to calculate the LCM of 731, 473, 138, 688, 146?

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 731, 473, 138, 688, 146.

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}.