Given numbers are 456,278,211,305

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

The LCM of 456,278,211,305 is 4079077320.

Find LCM of 456,278,211,305 with Prime Factorization

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

2 x 228 x 139 x 211 x 305 = 4079077320

Therefore, the lowest common multiple of 456,278,211,305 is 4079077320.

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.

456 x 278 x 211 x 305 = 8158154640

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

278 : 1, 2, 139, 278

211 : 1, 211

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,278,211,305, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

278:2x 139

211:211

305:5x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 8158154640/(1x2)

LCM = 8158154640/2

LCM = 4079077320

Thus, we can understand that the LCM of 456,278,211,305 is 4079077320.

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

• LCM of 199, 163, 204, 916
• LCM of 171, 824, 879, 813
• LCM of 200, 345, 902, 723
• LCM of 272, 282, 626, 552
• LCM of 728, 412, 873, 439

1. What is the LCM of 456, 278, 211, 305?

Answer: LCM of 456, 278, 211, 305 is 4079077320.

2. How to calculate the LCM of 456, 278, 211, 305?

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 456, 278, 211, 305.

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}.