Given numbers are 896,731,323,149,523

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

The LCM of 896,731,323,149,523 is 969765980288.

Find LCM of 896,731,323,149,523 with Prime Factorization

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

17 x 896 x 43 x 19 x 149 x 523 = 969765980288

Therefore, the lowest common multiple of 896,731,323,149,523 is 969765980288.

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.

896 x 731 x 323 x 149 x 523 = 16486021664896

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.

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

731 : 1, 17, 43, 731

323 : 1, 17, 19, 323

149 : 1, 149

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,731,323,149,523, is 1.

Now, the common factors can be found like this.

896:2x 2x 2x 2x 2x 2x 2x 7

731:17x 43

323:17x 19

149:149

523:523

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

17 = 17

Therefore, the value for common factors is 17.

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 = 16486021664896/(1x17)

LCM = 16486021664896/17

LCM = 969765980288

Thus, we can understand that the LCM of 896,731,323,149,523 is 969765980288.

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

• LCM of 604, 150, 484, 921, 551
• LCM of 493, 755, 628, 840, 513
• LCM of 702, 656, 854, 750, 120
• LCM of 505, 563, 807, 606, 124
• LCM of 192, 260, 122, 754, 978

1. What is the LCM of 896, 731, 323, 149, 523?

Answer: LCM of 896, 731, 323, 149, 523 is 969765980288.

2. How to calculate the LCM of 896, 731, 323, 149, 523?

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 896, 731, 323, 149, 523.

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}.