Given numbers are 467,368,322,506

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

The LCM of 467,368,322,506 is 13232912.

Find LCM of 467,368,322,506 with Prime Factorization

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

2 x 23 x 467 x 8 x 7 x 11 = 13232912

Therefore, the lowest common multiple of 467,368,322,506 is 13232912.

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.

467 x 368 x 322 x 506 = 28000841792

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.

467 : 1, 467

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

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,368,322,506, is 1.

Now, the common factors can be found like this.

467:467

368:2x 2x 2x 2x 23

322:2x 7x 23

506:2x 11x 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 2x 23x 23 = 2116

Therefore, the value for common factors is 2116.

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 = 28000841792/(1x2116)

LCM = 28000841792/2116

LCM = 13232912

Thus, we can understand that the LCM of 467,368,322,506 is 13232912.

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

• LCM of 862, 473, 200, 197
• LCM of 726, 938, 790, 158
• LCM of 412, 854, 642, 850
• LCM of 172, 504, 352, 764
• LCM of 281, 636, 245, 456

1. What is the LCM of 467, 368, 322, 506?

Answer: LCM of 467, 368, 322, 506 is 13232912.

2. How to calculate the LCM of 467, 368, 322, 506?

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 467, 368, 322, 506.

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}.