Given numbers are 724,656,460,214

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

The LCM of 724,656,460,214 is 1461046480.

Find LCM of 724,656,460,214 with Prime Factorization

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

2 x 2 x 181 x 164 x 115 x 107 = 1461046480

Therefore, the lowest common multiple of 724,656,460,214 is 1461046480.

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.

724 x 656 x 460 x 214 = 46753487360

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.

724 : 1, 2, 4, 181, 362, 724

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,656,460,214, is 2.

Now, the common factors can be found like this.

724:2x 2x 181

656:2x 2x 2x 2x 41

460:2x 2x 5x 23

214:2x 107

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 2 = 16

Therefore, the value for common factors is 16.

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 = 46753487360/(2x16)

LCM = 46753487360/32

LCM = 1461046480

Thus, we can understand that the LCM of 724,656,460,214 is 1461046480.

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

• LCM of 581, 761, 726, 638
• LCM of 317, 468, 303, 174
• LCM of 479, 764, 176, 852
• LCM of 759, 186, 791, 998
• LCM of 152, 416, 527, 322

1. What is the LCM of 724, 656, 460, 214?

Answer: LCM of 724, 656, 460, 214 is 1461046480.

2. How to calculate the LCM of 724, 656, 460, 214?

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 724, 656, 460, 214.

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}.