Given numbers are 157,270,546,916,924

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

The LCM of 157,270,546,916,924 is 19434034620.

Find LCM of 157,270,546,916,924 with Prime Factorization

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

2 x 2 x 3 x 7 x 157 x 45 x 13 x 229 x 11 = 19434034620

Therefore, the lowest common multiple of 157,270,546,916,924 is 19434034620.

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.

157 x 270 x 546 x 916 x 924 = 19589506896960

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.

157 : 1, 157

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

916 : 1, 2, 4, 229, 458, 916

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 157,270,546,916,924, is 1.

Now, the common factors can be found like this.

157:157

270:2x 3x 3x 3x 5

546:2x 3x 7x 13

916:2x 2x 229

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.

2x 2x 2x 2x 3x 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 19589506896960/(1x1008)

LCM = 19589506896960/1008

LCM = 19434034620

Thus, we can understand that the LCM of 157,270,546,916,924 is 19434034620.

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

• LCM of 503, 719, 748, 127, 900
• LCM of 487, 659, 261, 335, 455
• LCM of 474, 404, 270, 976, 361
• LCM of 551, 951, 681, 129, 616
• LCM of 475, 135, 808, 739, 524

1. What is the LCM of 157, 270, 546, 916, 924?

Answer: LCM of 157, 270, 546, 916, 924 is 19434034620.

2. How to calculate the LCM of 157, 270, 546, 916, 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 157, 270, 546, 916, 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}.