Given numbers are 507,438,167,924

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

The LCM of 507,438,167,924 is 1903697796.

Find LCM of 507,438,167,924 with Prime Factorization

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

2 x 3 x 169 x 73 x 167 x 154 = 1903697796

Therefore, the lowest common multiple of 507,438,167,924 is 1903697796.

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 438 x 167 x 924 = 34266560328

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

167 : 1, 167

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,438,167,924, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

438:2x 3x 73

167:167

924:2x 2x 3x 7x 11

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 34266560328/(1x18)

LCM = 34266560328/18

LCM = 1903697796

Thus, we can understand that the LCM of 507,438,167,924 is 1903697796.

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

• LCM of 328, 405, 333, 505
• LCM of 308, 255, 957, 268
• LCM of 962, 420, 244, 205
• LCM of 203, 602, 208, 941
• LCM of 269, 313, 794, 397

1. What is the LCM of 507, 438, 167, 924?

Answer: LCM of 507, 438, 167, 924 is 1903697796.

2. How to calculate the LCM of 507, 438, 167, 924?

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, 438, 167, 924.

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}.