Given numbers are 468,186,350,336

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

The LCM of 468,186,350,336 is 10155600.

Find LCM of 468,186,350,336 with Prime Factorization

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

2 x 2 x 3 x 7 x 39 x 31 x 25 x 4 = 10155600

Therefore, the lowest common multiple of 468,186,350,336 is 10155600.

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.

468 x 186 x 350 x 336 = 10236844800

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

186 : 1, 2, 3, 6, 31, 62, 93, 186

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,186,350,336, is 2.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

186:2x 3x 31

350:2x 5x 5x 7

336:2x 2x 2x 2x 3x 7

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 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 10236844800/(2x504)

LCM = 10236844800/1008

LCM = 10155600

Thus, we can understand that the LCM of 468,186,350,336 is 10155600.

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

• LCM of 366, 548, 526, 336
• LCM of 872, 489, 802, 598
• LCM of 100, 183, 725, 838
• LCM of 523, 862, 405, 344
• LCM of 532, 640, 573, 446

1. What is the LCM of 468, 186, 350, 336?

Answer: LCM of 468, 186, 350, 336 is 10155600.

2. How to calculate the LCM of 468, 186, 350, 336?

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 468, 186, 350, 336.

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}.