Given numbers are 468,388,392,949,219

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

The LCM of 468,388,392,949,219 is 324762984.

Find LCM of 468,388,392,949,219 with Prime Factorization

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

2 x 2 x 3 x 13 x 73 x 3 x 97 x 98 x 1 x 1 = 324762984

Therefore, the lowest common multiple of 468,388,392,949,219 is 324762984.

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 388 x 392 x 949 x 219 = 14793603447168

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

388 : 1, 2, 4, 97, 194, 388

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

949 : 1, 13, 73, 949

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,388,392,949,219, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

388:2x 2x 97

392:2x 2x 2x 7x 7

949:13x 73

219:3x 73

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 3x 13x 73 = 45552

Therefore, the value for common factors is 45552.

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 = 14793603447168/(1x45552)

LCM = 14793603447168/45552

LCM = 324762984

Thus, we can understand that the LCM of 468,388,392,949,219 is 324762984.

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

• LCM of 834, 819, 569, 562, 785
• LCM of 674, 695, 767, 356, 131
• LCM of 793, 336, 632, 154, 754
• LCM of 108, 705, 422, 854, 539
• LCM of 691, 443, 890, 752, 878

1. What is the LCM of 468, 388, 392, 949, 219?

Answer: LCM of 468, 388, 392, 949, 219 is 324762984.

2. How to calculate the LCM of 468, 388, 392, 949, 219?

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, 388, 392, 949, 219.

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}.