Given numbers are 121,462,464,328,656

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

The LCM of 121,462,464,328,656 is 48339984.

Find LCM of 121,462,464,328,656 with Prime Factorization

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

2 x 2 x 2 x 2 x 11 x 41 x 11 x 21 x 29 x 1 x 1 = 48339984

Therefore, the lowest common multiple of 121,462,464,328,656 is 48339984.

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.

121 x 462 x 464 x 328 x 656 = 5581141192704

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.

121 : 1, 11, 121

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

328 : 1, 2, 4, 8, 41, 82, 164, 328

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,462,464,328,656, is 1.

Now, the common factors can be found like this.

121:11x 11

462:2x 3x 7x 11

464:2x 2x 2x 2x 29

328:2x 2x 2x 41

656:2x 2x 2x 2x 41

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 2x 2x 11x 41 = 115456

Therefore, the value for common factors is 115456.

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 = 5581141192704/(1x115456)

LCM = 5581141192704/115456

LCM = 48339984

Thus, we can understand that the LCM of 121,462,464,328,656 is 48339984.

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

• LCM of 326, 681, 415, 570, 942
• LCM of 646, 965, 490, 663, 468
• LCM of 775, 785, 820, 263, 667
• LCM of 576, 372, 377, 489, 129
• LCM of 862, 125, 359, 965, 474

1. What is the LCM of 121, 462, 464, 328, 656?

Answer: LCM of 121, 462, 464, 328, 656 is 48339984.

2. How to calculate the LCM of 121, 462, 464, 328, 656?

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 121, 462, 464, 328, 656.

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}.