Given numbers are 457,416,411,351

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

The LCM of 457,416,411,351 is 703224288.

Find LCM of 457,416,411,351 with Prime Factorization

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

3 x 13 x 457 x 32 x 137 x 9 = 703224288

Therefore, the lowest common multiple of 457,416,411,351 is 703224288.

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 416 x 411 x 351 = 27425747232

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

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

411 : 1, 3, 137, 411

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,416,411,351, is 1.

Now, the common factors can be found like this.

457:457

416:2x 2x 2x 2x 2x 13

411:3x 137

351:3x 3x 3x 13

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 27425747232/(1x39)

LCM = 27425747232/39

LCM = 703224288

Thus, we can understand that the LCM of 457,416,411,351 is 703224288.

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

• LCM of 452, 787, 164, 945
• LCM of 924, 756, 745, 628
• LCM of 675, 333, 763, 333
• LCM of 883, 571, 317, 877
• LCM of 360, 916, 967, 224

1. What is the LCM of 457, 416, 411, 351?

Answer: LCM of 457, 416, 411, 351 is 703224288.

2. How to calculate the LCM of 457, 416, 411, 351?

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, 416, 411, 351.

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}.