Given numbers are 557,482,350,314

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

The LCM of 557,482,350,314 is 7376323150.

Find LCM of 557,482,350,314 with Prime Factorization

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

2 x 557 x 241 x 175 x 157 = 7376323150

Therefore, the lowest common multiple of 557,482,350,314 is 7376323150.

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.

557 x 482 x 350 x 314 = 29505292600

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.

557 : 1, 557

482 : 1, 2, 241, 482

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,482,350,314, is 1.

Now, the common factors can be found like this.

557:557

482:2x 241

350:2x 5x 5x 7

314:2x 157

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 29505292600/(1x4)

LCM = 29505292600/4

LCM = 7376323150

Thus, we can understand that the LCM of 557,482,350,314 is 7376323150.

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

• LCM of 823, 898, 252, 387
• LCM of 732, 665, 819, 290
• LCM of 864, 139, 260, 961
• LCM of 660, 789, 936, 384
• LCM of 511, 994, 563, 697

1. What is the LCM of 557, 482, 350, 314?

Answer: LCM of 557, 482, 350, 314 is 7376323150.

2. How to calculate the LCM of 557, 482, 350, 314?

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 557, 482, 350, 314.

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}.