Given numbers are 156,975,324,192,149

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

The LCM of 156,975,324,192,149 is 251035200.

Find LCM of 156,975,324,192,149 with Prime Factorization

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

2 x 2 x 3 x 13 x 1 x 25 x 27 x 16 x 149 = 251035200

Therefore, the lowest common multiple of 156,975,324,192,149 is 251035200.

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.

156 x 975 x 324 x 192 x 149 = 1409813683200

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.

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,975,324,192,149, is 1.

Now, the common factors can be found like this.

156:2x 2x 3x 13

975:3x 5x 5x 13

324:2x 2x 3x 3x 3x 3

192:2x 2x 2x 2x 2x 2x 3

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 3x 3x 3x 13 = 5616

Therefore, the value for common factors is 5616.

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 = 1409813683200/(1x5616)

LCM = 1409813683200/5616

LCM = 251035200

Thus, we can understand that the LCM of 156,975,324,192,149 is 251035200.

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

• LCM of 369, 205, 343, 390, 308
• LCM of 432, 133, 834, 525, 525
• LCM of 688, 427, 849, 604, 681
• LCM of 131, 432, 632, 612, 165
• LCM of 329, 489, 656, 143, 484

1. What is the LCM of 156, 975, 324, 192, 149?

Answer: LCM of 156, 975, 324, 192, 149 is 251035200.

2. How to calculate the LCM of 156, 975, 324, 192, 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 156, 975, 324, 192, 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}.