Given numbers are 738,740,734,784,364

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

The LCM of 738,740,734,784,364 is 255342774960.

Find LCM of 738,740,734,784,364 with Prime Factorization

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

2 x 2 x 7 x 369 x 185 x 367 x 28 x 13 = 255342774960

Therefore, the lowest common multiple of 738,740,734,784,364 is 255342774960.

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 740 x 734 x 784 x 364 = 114393563182080

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

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

734 : 1, 2, 367, 734

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,740,734,784,364, is 2.

Now, the common factors can be found like this.

738:2x 3x 3x 41

740:2x 2x 5x 37

734:2x 367

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

364:2x 2x 7x 13

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 7 = 224

Therefore, the value for common factors is 224.

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 = 114393563182080/(2x224)

LCM = 114393563182080/448

LCM = 255342774960

Thus, we can understand that the LCM of 738,740,734,784,364 is 255342774960.

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

• LCM of 422, 328, 310, 546, 708
• LCM of 276, 385, 259, 917, 103
• LCM of 877, 139, 633, 685, 909
• LCM of 527, 537, 236, 249, 146
• LCM of 709, 355, 311, 584, 308

1. What is the LCM of 738, 740, 734, 784, 364?

Answer: LCM of 738, 740, 734, 784, 364 is 255342774960.

2. How to calculate the LCM of 738, 740, 734, 784, 364?

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, 740, 734, 784, 364.

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}.