Given numbers are 468,232,458,680,716

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

The LCM of 468,232,458,680,716 is 94576074840.

Find LCM of 468,232,458,680,716 with Prime Factorization

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

2 x 2 x 2 x 117 x 29 x 229 x 85 x 179 = 94576074840

Therefore, the lowest common multiple of 468,232,458,680,716 is 94576074840.

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 232 x 458 x 680 x 716 = 24211475159040

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

232 : 1, 2, 4, 8, 29, 58, 116, 232

458 : 1, 2, 229, 458

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,232,458,680,716, is 2.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

232:2x 2x 2x 29

458:2x 229

680:2x 2x 2x 5x 17

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 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 24211475159040/(2x128)

LCM = 24211475159040/256

LCM = 94576074840

Thus, we can understand that the LCM of 468,232,458,680,716 is 94576074840.

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

• LCM of 215, 842, 844, 996, 523
• LCM of 262, 911, 148, 792, 585
• LCM of 613, 469, 476, 844, 990
• LCM of 450, 586, 373, 855, 949
• LCM of 594, 134, 728, 208, 314

1. What is the LCM of 468, 232, 458, 680, 716?

Answer: LCM of 468, 232, 458, 680, 716 is 94576074840.

2. How to calculate the LCM of 468, 232, 458, 680, 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 468, 232, 458, 680, 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}.