Given numbers are 149,732,840,240

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

The LCM of 149,732,840,240 is 15269520.

Find LCM of 149,732,840,240 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 149 x 61 x 7 x 2 = 15269520

Therefore, the lowest common multiple of 149,732,840,240 is 15269520.

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.

149 x 732 x 840 x 240 = 21988108800

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.

149 : 1, 149

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,732,840,240, is 1.

Now, the common factors can be found like this.

149:149

732:2x 2x 3x 61

840:2x 2x 2x 3x 5x 7

240:2x 2x 2x 2x 3x 5

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 2x 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 21988108800/(1x1440)

LCM = 21988108800/1440

LCM = 15269520

Thus, we can understand that the LCM of 149,732,840,240 is 15269520.

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

• LCM of 164, 881, 748, 263
• LCM of 488, 202, 328, 769
• LCM of 450, 143, 231, 299
• LCM of 583, 176, 959, 960
• LCM of 911, 386, 869, 972

1. What is the LCM of 149, 732, 840, 240?

Answer: LCM of 149, 732, 840, 240 is 15269520.

2. How to calculate the LCM of 149, 732, 840, 240?

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 149, 732, 840, 240.

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}.