Given numbers are 472,218,458,268

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

The LCM of 472,218,458,268 is 789366664.

Find LCM of 472,218,458,268 with Prime Factorization

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

2 x 2 x 118 x 109 x 229 x 67 = 789366664

Therefore, the lowest common multiple of 472,218,458,268 is 789366664.

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.

472 x 218 x 458 x 268 = 12629866624

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.

472 : 1, 2, 4, 8, 59, 118, 236, 472

218 : 1, 2, 109, 218

458 : 1, 2, 229, 458

268 : 1, 2, 4, 67, 134, 268

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,218,458,268, is 2.

Now, the common factors can be found like this.

472:2x 2x 2x 59

218:2x 109

458:2x 229

268:2x 2x 67

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 2 = 8

Therefore, the value for common factors is 8.

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 = 12629866624/(2x8)

LCM = 12629866624/16

LCM = 789366664

Thus, we can understand that the LCM of 472,218,458,268 is 789366664.

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

• LCM of 530, 352, 103, 463
• LCM of 491, 468, 925, 809
• LCM of 382, 470, 325, 442
• LCM of 185, 747, 373, 219
• LCM of 486, 242, 412, 826

1. What is the LCM of 472, 218, 458, 268?

Answer: LCM of 472, 218, 458, 268 is 789366664.

2. How to calculate the LCM of 472, 218, 458, 268?

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 472, 218, 458, 268.

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}.