Given numbers are 736,460,368,366

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

The LCM of 736,460,368,366 is 673440.

Find LCM of 736,460,368,366 with Prime Factorization

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

2 x 2 x 2 x 2 x 23 x 1 x 5 x 2 x 183 = 673440

Therefore, the lowest common multiple of 736,460,368,366 is 673440.

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.

736 x 460 x 368 x 366 = 45599969280

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

366 : 1, 2, 3, 6, 61, 122, 183, 366

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,460,368,366, is 2.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

460:2x 2x 5x 23

368:2x 2x 2x 2x 23

366:2x 3x 61

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 23x 23 = 33856

Therefore, the value for common factors is 33856.

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 = 45599969280/(2x33856)

LCM = 45599969280/67712

LCM = 673440

Thus, we can understand that the LCM of 736,460,368,366 is 673440.

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

• LCM of 294, 441, 484, 413
• LCM of 201, 499, 132, 835
• LCM of 285, 761, 764, 199
• LCM of 131, 742, 822, 770
• LCM of 575, 686, 363, 847

1. What is the LCM of 736, 460, 368, 366?

Answer: LCM of 736, 460, 368, 366 is 673440.

2. How to calculate the LCM of 736, 460, 368, 366?

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 736, 460, 368, 366.

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}.