Given numbers are 315,316,399,457

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

The LCM of 315,316,399,457 is 864305820.

Find LCM of 315,316,399,457 with Prime Factorization

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

3 x 7 x 15 x 316 x 19 x 457 = 864305820

Therefore, the lowest common multiple of 315,316,399,457 is 864305820.

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.

315 x 316 x 399 x 457 = 18150422220

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

316 : 1, 2, 4, 79, 158, 316

399 : 1, 3, 7, 19, 21, 57, 133, 399

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,316,399,457, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

316:2x 2x 79

399:3x 7x 19

457:457

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

3x 7 = 21

Therefore, the value for common factors is 21.

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 = 18150422220/(1x21)

LCM = 18150422220/21

LCM = 864305820

Thus, we can understand that the LCM of 315,316,399,457 is 864305820.

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

• LCM of 529, 223, 709, 427
• LCM of 476, 237, 760, 773
• LCM of 688, 964, 857, 380
• LCM of 845, 990, 800, 197
• LCM of 584, 512, 598, 508

1. What is the LCM of 315, 316, 399, 457?

Answer: LCM of 315, 316, 399, 457 is 864305820.

2. How to calculate the LCM of 315, 316, 399, 457?

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 315, 316, 399, 457.

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}.