Given numbers are 354,193,162,876

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

The LCM of 354,193,162,876 is 269325324.

Find LCM of 354,193,162,876 with Prime Factorization

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

2 x 3 x 59 x 193 x 27 x 146 = 269325324

Therefore, the lowest common multiple of 354,193,162,876 is 269325324.

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.

354 x 193 x 162 x 876 = 9695711664

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

193 : 1, 193

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,193,162,876, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

193:193

162:2x 3x 3x 3x 3

876:2x 2x 3x 73

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 9695711664/(1x36)

LCM = 9695711664/36

LCM = 269325324

Thus, we can understand that the LCM of 354,193,162,876 is 269325324.

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

• LCM of 752, 916, 172, 415
• LCM of 294, 789, 836, 831
• LCM of 223, 662, 937, 441
• LCM of 394, 409, 414, 210
• LCM of 246, 984, 904, 171

1. What is the LCM of 354, 193, 162, 876?

Answer: LCM of 354, 193, 162, 876 is 269325324.

2. How to calculate the LCM of 354, 193, 162, 876?

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 354, 193, 162, 876.

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}.