Given numbers are 474,468,447,688,716

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

The LCM of 474,468,447,688,716 is 169605796464.

Find LCM of 474,468,447,688,716 with Prime Factorization

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

2 x 2 x 3 x 79 x 39 x 149 x 172 x 179 = 169605796464

Therefore, the lowest common multiple of 474,468,447,688,716 is 169605796464.

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.

474 x 468 x 447 x 688 x 716 = 48846469381632

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.

474 : 1, 2, 3, 6, 79, 158, 237, 474

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

447 : 1, 3, 149, 447

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

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,468,447,688,716, is 1.

Now, the common factors can be found like this.

474:2x 3x 79

468:2x 2x 3x 3x 13

447:3x 149

688:2x 2x 2x 2x 43

716:2x 2x 179

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 3 = 288

Therefore, the value for common factors is 288.

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 = 48846469381632/(1x288)

LCM = 48846469381632/288

LCM = 169605796464

Thus, we can understand that the LCM of 474,468,447,688,716 is 169605796464.

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

• LCM of 174, 360, 568, 308, 783
• LCM of 312, 838, 359, 501, 874
• LCM of 645, 781, 956, 898, 201
• LCM of 457, 190, 221, 690, 110
• LCM of 950, 818, 332, 489, 449

1. What is the LCM of 474, 468, 447, 688, 716?

Answer: LCM of 474, 468, 447, 688, 716 is 169605796464.

2. How to calculate the LCM of 474, 468, 447, 688, 716?

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 474, 468, 447, 688, 716.

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}.