Given numbers are 352,624,923,149

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

The LCM of 352,624,923,149 is 145228512.

Find LCM of 352,624,923,149 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 22 x 3 x 71 x 149 = 145228512

Therefore, the lowest common multiple of 352,624,923,149 is 145228512.

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.

352 x 624 x 923 x 149 = 30207530496

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

923 : 1, 13, 71, 923

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,624,923,149, is 1.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

624:2x 2x 2x 2x 3x 13

923:13x 71

149:149

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 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 30207530496/(1x208)

LCM = 30207530496/208

LCM = 145228512

Thus, we can understand that the LCM of 352,624,923,149 is 145228512.

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

• LCM of 191, 557, 264, 681
• LCM of 835, 648, 417, 723
• LCM of 795, 951, 591, 401
• LCM of 497, 486, 662, 407
• LCM of 173, 174, 785, 869

1. What is the LCM of 352, 624, 923, 149?

Answer: LCM of 352, 624, 923, 149 is 145228512.

2. How to calculate the LCM of 352, 624, 923, 149?

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 352, 624, 923, 149.

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}.