Given numbers are 529,736,461,214

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

The LCM of 529,736,461,214 is 835007456.

Find LCM of 529,736,461,214 with Prime Factorization

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

2 x 23 x 23 x 16 x 461 x 107 = 835007456

Therefore, the lowest common multiple of 529,736,461,214 is 835007456.

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.

529 x 736 x 461 x 214 = 38410342976

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.

529 : 1, 23, 529

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

461 : 1, 461

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,736,461,214, is 1.

Now, the common factors can be found like this.

529:23x 23

736:2x 2x 2x 2x 2x 23

461:461

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 23 = 46

Therefore, the value for common factors is 46.

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 = 38410342976/(1x46)

LCM = 38410342976/46

LCM = 835007456

Thus, we can understand that the LCM of 529,736,461,214 is 835007456.

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

• LCM of 895, 488, 401, 788
• LCM of 629, 842, 415, 249
• LCM of 382, 205, 207, 573
• LCM of 525, 731, 500, 224
• LCM of 532, 489, 336, 648

1. What is the LCM of 529, 736, 461, 214?

Answer: LCM of 529, 736, 461, 214 is 835007456.

2. How to calculate the LCM of 529, 736, 461, 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 529, 736, 461, 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}.