Given numbers are 473,687,735,171

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

The LCM of 473,687,735,171 is 4537940715.

Find LCM of 473,687,735,171 with Prime Factorization

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

3 x 473 x 229 x 245 x 57 = 4537940715

Therefore, the lowest common multiple of 473,687,735,171 is 4537940715.

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.

473 x 687 x 735 x 171 = 40841466435

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.

473 : 1, 11, 43, 473

687 : 1, 3, 229, 687

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,687,735,171, is 1.

Now, the common factors can be found like this.

473:11x 43

687:3x 229

735:3x 5x 7x 7

171:3x 3x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 40841466435/(1x9)

LCM = 40841466435/9

LCM = 4537940715

Thus, we can understand that the LCM of 473,687,735,171 is 4537940715.

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

• LCM of 767, 457, 297, 670
• LCM of 977, 408, 359, 977
• LCM of 323, 446, 294, 999
• LCM of 664, 429, 473, 348
• LCM of 859, 594, 333, 253

1. What is the LCM of 473, 687, 735, 171?

Answer: LCM of 473, 687, 735, 171 is 4537940715.

2. How to calculate the LCM of 473, 687, 735, 171?

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 473, 687, 735, 171.

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}.