Given numbers are 864,326,488,349,494

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

The LCM of 864,326,488,349,494 is 740548594656.

Find LCM of 864,326,488,349,494 with Prime Factorization

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

2 x 2 x 2 x 108 x 163 x 61 x 349 x 247 = 740548594656

Therefore, the lowest common multiple of 864,326,488,349,494 is 740548594656.

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 326 x 488 x 349 x 494 = 23697555028992

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

326 : 1, 2, 163, 326

488 : 1, 2, 4, 8, 61, 122, 244, 488

349 : 1, 349

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,326,488,349,494, is 1.

Now, the common factors can be found like this.

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

326:2x 163

488:2x 2x 2x 61

349:349

494:2x 13x 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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 23697555028992/(1x32)

LCM = 23697555028992/32

LCM = 740548594656

Thus, we can understand that the LCM of 864,326,488,349,494 is 740548594656.

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

• LCM of 307, 846, 640, 592, 566
• LCM of 942, 867, 761, 387, 432
• LCM of 352, 737, 584, 166, 436
• LCM of 923, 177, 464, 140, 656
• LCM of 247, 282, 508, 193, 839

1. What is the LCM of 864, 326, 488, 349, 494?

Answer: LCM of 864, 326, 488, 349, 494 is 740548594656.

2. How to calculate the LCM of 864, 326, 488, 349, 494?

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, 326, 488, 349, 494.

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}.