Given numbers are 546,128,990,836

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

The LCM of 546,128,990,836 is 109549440.

Find LCM of 546,128,990,836 with Prime Factorization

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

2 x 2 x 3 x 11 x 91 x 32 x 15 x 19 = 109549440

Therefore, the lowest common multiple of 546,128,990,836 is 109549440.

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.

546 x 128 x 990 x 836 = 57842104320

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.

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,128,990,836, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

128:2x 2x 2x 2x 2x 2x 2

990:2x 3x 3x 5x 11

836:2x 2x 11x 19

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 11 = 264

Therefore, the value for common factors is 264.

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 = 57842104320/(2x264)

LCM = 57842104320/528

LCM = 109549440

Thus, we can understand that the LCM of 546,128,990,836 is 109549440.

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

• LCM of 845, 751, 288, 256
• LCM of 216, 708, 342, 181
• LCM of 291, 468, 494, 487
• LCM of 495, 964, 485, 217
• LCM of 598, 251, 532, 139

1. What is the LCM of 546, 128, 990, 836?

Answer: LCM of 546, 128, 990, 836 is 109549440.

2. How to calculate the LCM of 546, 128, 990, 836?

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 546, 128, 990, 836.

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}.