Given numbers are 350,310,368,473,494

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

The LCM of 350,310,368,473,494 is 233241408400.

Find LCM of 350,310,368,473,494 with Prime Factorization

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

2 x 5 x 35 x 31 x 184 x 473 x 247 = 233241408400

Therefore, the lowest common multiple of 350,310,368,473,494 is 233241408400.

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.

350 x 310 x 368 x 473 x 494 = 9329656336000

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.

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

310 : 1, 2, 5, 10, 31, 62, 155, 310

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

473 : 1, 11, 43, 473

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,310,368,473,494, is 1.

Now, the common factors can be found like this.

350:2x 5x 5x 7

310:2x 5x 31

368:2x 2x 2x 2x 23

473:11x 43

494:2x 13x 19

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 5 = 40

Therefore, the value for common factors is 40.

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 = 9329656336000/(1x40)

LCM = 9329656336000/40

LCM = 233241408400

Thus, we can understand that the LCM of 350,310,368,473,494 is 233241408400.

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

• LCM of 480, 588, 231, 284, 364
• LCM of 610, 725, 152, 293, 265
• LCM of 208, 621, 917, 971, 995
• LCM of 375, 408, 498, 600, 582
• LCM of 112, 749, 247, 700, 205

1. What is the LCM of 350, 310, 368, 473, 494?

Answer: LCM of 350, 310, 368, 473, 494 is 233241408400.

2. How to calculate the LCM of 350, 310, 368, 473, 494?

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 350, 310, 368, 473, 494.

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}.