Given numbers are 468,840,136,715,173

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

The LCM of 468,840,136,715,173 is 1059818760.

Find LCM of 468,840,136,715,173 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 13 x 3 x 7 x 17 x 11 x 173 = 1059818760

Therefore, the lowest common multiple of 468,840,136,715,173 is 1059818760.

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.

468 x 840 x 136 x 715 x 173 = 6613269062400

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

136 : 1, 2, 4, 8, 17, 34, 68, 136

715 : 1, 5, 11, 13, 55, 65, 143, 715

173 : 1, 173

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,840,136,715,173, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

840:2x 2x 2x 3x 5x 7

136:2x 2x 2x 17

715:5x 11x 13

173:173

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 3x 5x 13 = 6240

Therefore, the value for common factors is 6240.

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 = 6613269062400/(1x6240)

LCM = 6613269062400/6240

LCM = 1059818760

Thus, we can understand that the LCM of 468,840,136,715,173 is 1059818760.

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

• LCM of 923, 469, 732, 454, 427
• LCM of 342, 121, 793, 296, 168
• LCM of 107, 800, 294, 264, 631
• LCM of 171, 815, 493, 476, 870
• LCM of 862, 280, 994, 143, 201

1. What is the LCM of 468, 840, 136, 715, 173?

Answer: LCM of 468, 840, 136, 715, 173 is 1059818760.

2. How to calculate the LCM of 468, 840, 136, 715, 173?

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 468, 840, 136, 715, 173.

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}.