Given numbers are 726,154,312,390

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

The LCM of 726,154,312,390 is 1321320.

Find LCM of 726,154,312,390 with Prime Factorization

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

2 x 3 x 11 x 13 x 11 x 7 x 4 x 5 = 1321320

Therefore, the lowest common multiple of 726,154,312,390 is 1321320.

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.

726 x 154 x 312 x 390 = 13604310720

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

154 : 1, 2, 7, 11, 14, 22, 77, 154

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,154,312,390, is 2.

Now, the common factors can be found like this.

726:2x 3x 11x 11

154:2x 7x 11

312:2x 2x 2x 3x 13

390:2x 3x 5x 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 3x 3x 11x 13 = 5148

Therefore, the value for common factors is 5148.

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 = 13604310720/(2x5148)

LCM = 13604310720/10296

LCM = 1321320

Thus, we can understand that the LCM of 726,154,312,390 is 1321320.

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

• LCM of 263, 871, 284, 686
• LCM of 193, 366, 758, 339
• LCM of 371, 497, 490, 421
• LCM of 500, 285, 967, 213
• LCM of 142, 792, 590, 439

1. What is the LCM of 726, 154, 312, 390?

Answer: LCM of 726, 154, 312, 390 is 1321320.

2. How to calculate the LCM of 726, 154, 312, 390?

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 726, 154, 312, 390.

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}.