Given numbers are 864,626,540,942

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

The LCM of 864,626,540,942 is 212289120.

Find LCM of 864,626,540,942 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 8 x 313 x 5 x 157 = 212289120

Therefore, the lowest common multiple of 864,626,540,942 is 212289120.

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.

864 x 626 x 540 x 942 = 275126699520

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

626 : 1, 2, 313, 626

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

942 : 1, 2, 3, 6, 157, 314, 471, 942

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,626,540,942, is 2.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

626:2x 313

540:2x 2x 3x 3x 3x 5

942:2x 3x 157

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 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 275126699520/(2x648)

LCM = 275126699520/1296

LCM = 212289120

Thus, we can understand that the LCM of 864,626,540,942 is 212289120.

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

• LCM of 221, 330, 555, 122
• LCM of 823, 553, 770, 833
• LCM of 816, 895, 789, 407
• LCM of 104, 672, 336, 498
• LCM of 790, 789, 266, 100

1. What is the LCM of 864, 626, 540, 942?

Answer: LCM of 864, 626, 540, 942 is 212289120.

2. How to calculate the LCM of 864, 626, 540, 942?

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 864, 626, 540, 942.

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}.