Given numbers are 738,676,788,64

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

The LCM of 738,676,788,64 is 786247488.

Find LCM of 738,676,788,64 with Prime Factorization

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

2 x 2 x 369 x 169 x 197 x 16 = 786247488

Therefore, the lowest common multiple of 738,676,788,64 is 786247488.

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.

738 x 676 x 788 x 64 = 25159919616

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

788 : 1, 2, 4, 197, 394, 788

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,676,788,64, is 2.

Now, the common factors can be found like this.

738:2x 3x 3x 41

676:2x 2x 13x 13

788:2x 2x 197

64:2x 2x 2x 2x 2x 2

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 2 = 16

Therefore, the value for common factors is 16.

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 = 25159919616/(2x16)

LCM = 25159919616/32

LCM = 786247488

Thus, we can understand that the LCM of 738,676,788,64 is 786247488.

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

• LCM of 407, 822, 744, 90
• LCM of 596, 235, 123, 32
• LCM of 848, 941, 209, 87
• LCM of 641, 784, 250, 10
• LCM of 473, 360, 112, 71

1. What is the LCM of 738, 676, 788, 64?

Answer: LCM of 738, 676, 788, 64 is 786247488.

2. How to calculate the LCM of 738, 676, 788, 64?

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 738, 676, 788, 64.

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}.