Given numbers are 152,248,351,579

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

The LCM of 152,248,351,579 is 319205016.

Find LCM of 152,248,351,579 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 31 x 117 x 193 = 319205016

Therefore, the lowest common multiple of 152,248,351,579 is 319205016.

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.

152 x 248 x 351 x 579 = 7660920384

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.

152 : 1, 2, 4, 8, 19, 38, 76, 152

248 : 1, 2, 4, 8, 31, 62, 124, 248

351 : 1, 3, 9, 13, 27, 39, 117, 351

579 : 1, 3, 193, 579

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,248,351,579, is 1.

Now, the common factors can be found like this.

152:2x 2x 2x 19

248:2x 2x 2x 31

351:3x 3x 3x 13

579:3x 193

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 3 = 24

Therefore, the value for common factors is 24.

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 = 7660920384/(1x24)

LCM = 7660920384/24

LCM = 319205016

Thus, we can understand that the LCM of 152,248,351,579 is 319205016.

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

• LCM of 884, 891, 997, 202
• LCM of 413, 869, 263, 780
• LCM of 270, 256, 687, 689
• LCM of 597, 162, 202, 871
• LCM of 661, 500, 537, 867

1. What is the LCM of 152, 248, 351, 579?

Answer: LCM of 152, 248, 351, 579 is 319205016.

2. How to calculate the LCM of 152, 248, 351, 579?

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 152, 248, 351, 579.

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}.