Given numbers are 131,432,696,828

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

The LCM of 131,432,696,828 is 37746864.

Find LCM of 131,432,696,828 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 131 x 6 x 29 x 23 = 37746864

Therefore, the lowest common multiple of 131,432,696,828 is 37746864.

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.

131 x 432 x 696 x 828 = 32613290496

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.

131 : 1, 131

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,432,696,828, is 1.

Now, the common factors can be found like this.

131:131

432:2x 2x 2x 2x 3x 3x 3

696:2x 2x 2x 3x 29

828:2x 2x 3x 3x 23

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 3 = 864

Therefore, the value for common factors is 864.

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 = 32613290496/(1x864)

LCM = 32613290496/864

LCM = 37746864

Thus, we can understand that the LCM of 131,432,696,828 is 37746864.

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

• LCM of 428, 582, 352, 302
• LCM of 786, 981, 998, 914
• LCM of 339, 110, 524, 791
• LCM of 751, 346, 915, 312
• LCM of 474, 924, 823, 839

1. What is the LCM of 131, 432, 696, 828?

Answer: LCM of 131, 432, 696, 828 is 37746864.

2. How to calculate the LCM of 131, 432, 696, 828?

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 131, 432, 696, 828.

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}.