Given numbers are 159,123,405,257,924

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

The LCM of 159,123,405,257,924 is 69662425140.

Find LCM of 159,123,405,257,924 with Prime Factorization

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

3 x 53 x 41 x 135 x 257 x 308 = 69662425140

Therefore, the lowest common multiple of 159,123,405,257,924 is 69662425140.

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.

159 x 123 x 405 x 257 x 924 = 1880885478780

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.

159 : 1, 3, 53, 159

123 : 1, 3, 41, 123

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

257 : 1, 257

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,123,405,257,924, is 1.

Now, the common factors can be found like this.

159:3x 53

123:3x 41

405:3x 3x 3x 3x 5

257:257

924:2x 2x 3x 7x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 1880885478780/(1x27)

LCM = 1880885478780/27

LCM = 69662425140

Thus, we can understand that the LCM of 159,123,405,257,924 is 69662425140.

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

• LCM of 397, 307, 860, 684, 842
• LCM of 407, 882, 312, 760, 506
• LCM of 816, 528, 366, 469, 193
• LCM of 862, 782, 868, 705, 299
• LCM of 895, 998, 737, 200, 795

1. What is the LCM of 159, 123, 405, 257, 924?

Answer: LCM of 159, 123, 405, 257, 924 is 69662425140.

2. How to calculate the LCM of 159, 123, 405, 257, 924?

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 159, 123, 405, 257, 924.

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}.