Given numbers are 457,226,412,748

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

The LCM of 457,226,412,748 is 3978629204.

Find LCM of 457,226,412,748 with Prime Factorization

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

2 x 2 x 457 x 113 x 103 x 187 = 3978629204

Therefore, the lowest common multiple of 457,226,412,748 is 3978629204.

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.

457 x 226 x 412 x 748 = 31829033632

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.

457 : 1, 457

226 : 1, 2, 113, 226

412 : 1, 2, 4, 103, 206, 412

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,226,412,748, is 1.

Now, the common factors can be found like this.

457:457

226:2x 113

412:2x 2x 103

748:2x 2x 11x 17

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 = 31829033632/(1x8)

LCM = 31829033632/8

LCM = 3978629204

Thus, we can understand that the LCM of 457,226,412,748 is 3978629204.

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

• LCM of 550, 840, 739, 339
• LCM of 910, 840, 606, 627
• LCM of 671, 978, 198, 482
• LCM of 819, 182, 907, 359
• LCM of 406, 164, 699, 573

1. What is the LCM of 457, 226, 412, 748?

Answer: LCM of 457, 226, 412, 748 is 3978629204.

2. How to calculate the LCM of 457, 226, 412, 748?

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 457, 226, 412, 748.

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}.