Given numbers are 507,214,836,322

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

The LCM of 507,214,836,322 is 7301698404.

Find LCM of 507,214,836,322 with Prime Factorization

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

2 x 507 x 107 x 418 x 161 = 7301698404

Therefore, the lowest common multiple of 507,214,836,322 is 7301698404.

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.

507 x 214 x 836 x 322 = 29206793616

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.

507 : 1, 3, 13, 39, 169, 507

214 : 1, 2, 107, 214

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

322 : 1, 2, 7, 14, 23, 46, 161, 322

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,214,836,322, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

214:2x 107

836:2x 2x 11x 19

322:2x 7x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 29206793616/(1x4)

LCM = 29206793616/4

LCM = 7301698404

Thus, we can understand that the LCM of 507,214,836,322 is 7301698404.

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

• LCM of 768, 228, 693, 980
• LCM of 912, 407, 854, 736
• LCM of 149, 230, 923, 142
• LCM of 311, 578, 928, 331
• LCM of 693, 692, 535, 531

1. What is the LCM of 507, 214, 836, 322?

Answer: LCM of 507, 214, 836, 322 is 7301698404.

2. How to calculate the LCM of 507, 214, 836, 322?

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 507, 214, 836, 322.

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}.