Given numbers are 376,460,866,138,696

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

The LCM of 376,460,866,138,696 is 1628894040.

Find LCM of 376,460,866,138,696 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 47 x 5 x 433 x 1 x 29 = 1628894040

Therefore, the lowest common multiple of 376,460,866,138,696 is 1628894040.

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.

376 x 460 x 866 x 138 x 696 = 14386392161280

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.

376 : 1, 2, 4, 8, 47, 94, 188, 376

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

866 : 1, 2, 433, 866

138 : 1, 2, 3, 6, 23, 46, 69, 138

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,460,866,138,696, is 2.

Now, the common factors can be found like this.

376:2x 2x 2x 47

460:2x 2x 5x 23

866:2x 433

138:2x 3x 23

696:2x 2x 2x 3x 29

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 2x 3x 23 = 4416

Therefore, the value for common factors is 4416.

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 = 14386392161280/(2x4416)

LCM = 14386392161280/8832

LCM = 1628894040

Thus, we can understand that the LCM of 376,460,866,138,696 is 1628894040.

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

• LCM of 737, 451, 621, 709, 222
• LCM of 472, 977, 147, 540, 556
• LCM of 964, 740, 184, 359, 388
• LCM of 308, 102, 861, 306, 672
• LCM of 281, 957, 302, 795, 174

1. What is the LCM of 376, 460, 866, 138, 696?

Answer: LCM of 376, 460, 866, 138, 696 is 1628894040.

2. How to calculate the LCM of 376, 460, 866, 138, 696?

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 376, 460, 866, 138, 696.

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}.