Given numbers are 314,354,319,715

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

The LCM of 314,354,319,715 is 1152409830.

Find LCM of 314,354,319,715 with Prime Factorization

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

2 x 11 x 157 x 177 x 29 x 65 = 1152409830

Therefore, the lowest common multiple of 314,354,319,715 is 1152409830.

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.

314 x 354 x 319 x 715 = 25353016260

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.

314 : 1, 2, 157, 314

354 : 1, 2, 3, 6, 59, 118, 177, 354

319 : 1, 11, 29, 319

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,354,319,715, is 1.

Now, the common factors can be found like this.

314:2x 157

354:2x 3x 59

319:11x 29

715:5x 11x 13

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 25353016260/(1x22)

LCM = 25353016260/22

LCM = 1152409830

Thus, we can understand that the LCM of 314,354,319,715 is 1152409830.

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

• LCM of 884, 643, 984, 722
• LCM of 203, 554, 693, 383
• LCM of 800, 721, 770, 113
• LCM of 140, 707, 814, 534
• LCM of 849, 785, 400, 828

1. What is the LCM of 314, 354, 319, 715?

Answer: LCM of 314, 354, 319, 715 is 1152409830.

2. How to calculate the LCM of 314, 354, 319, 715?

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 314, 354, 319, 715.

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}.