Given numbers are 739,784,192,194,423

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

The LCM of 739,784,192,194,423 is 95089506624.

Find LCM of 739,784,192,194,423 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 739 x 49 x 4 x 97 x 141 = 95089506624

Therefore, the lowest common multiple of 739,784,192,194,423 is 95089506624.

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.

739 x 784 x 192 x 194 x 423 = 9128592635904

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.

739 : 1, 739

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

194 : 1, 2, 97, 194

423 : 1, 3, 9, 47, 141, 423

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,784,192,194,423, is 1.

Now, the common factors can be found like this.

739:739

784:2x 2x 2x 2x 7x 7

192:2x 2x 2x 2x 2x 2x 3

194:2x 97

423:3x 3x 47

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 3 = 96

Therefore, the value for common factors is 96.

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 = 9128592635904/(1x96)

LCM = 9128592635904/96

LCM = 95089506624

Thus, we can understand that the LCM of 739,784,192,194,423 is 95089506624.

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

• LCM of 388, 396, 257, 400, 809
• LCM of 881, 878, 966, 961, 617
• LCM of 443, 887, 846, 240, 426
• LCM of 965, 182, 890, 133, 598
• LCM of 715, 834, 816, 791, 572

1. What is the LCM of 739, 784, 192, 194, 423?

Answer: LCM of 739, 784, 192, 194, 423 is 95089506624.

2. How to calculate the LCM of 739, 784, 192, 194, 423?

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 739, 784, 192, 194, 423.

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}.