Given numbers are 460,614,716,329

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

The LCM of 460,614,716,329 is 8316587020.

Find LCM of 460,614,716,329 with Prime Factorization

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

2 x 2 x 115 x 307 x 179 x 329 = 8316587020

Therefore, the lowest common multiple of 460,614,716,329 is 8316587020.

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.

460 x 614 x 716 x 329 = 66532696160

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

614 : 1, 2, 307, 614

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

329 : 1, 7, 47, 329

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,614,716,329, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

614:2x 307

716:2x 2x 179

329:7x 47

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 2 = 8

Therefore, the value for common factors is 8.

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 = 66532696160/(1x8)

LCM = 66532696160/8

LCM = 8316587020

Thus, we can understand that the LCM of 460,614,716,329 is 8316587020.

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

• LCM of 111, 572, 891, 967
• LCM of 360, 299, 526, 155
• LCM of 556, 389, 901, 581
• LCM of 762, 129, 517, 558
• LCM of 118, 721, 792, 550

1. What is the LCM of 460, 614, 716, 329?

Answer: LCM of 460, 614, 716, 329 is 8316587020.

2. How to calculate the LCM of 460, 614, 716, 329?

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 460, 614, 716, 329.

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}.