Given numbers are 314,453,206,675

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

The LCM of 314,453,206,675 is 3296458350.

Find LCM of 314,453,206,675 with Prime Factorization

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

2 x 3 x 157 x 151 x 103 x 225 = 3296458350

Therefore, the lowest common multiple of 314,453,206,675 is 3296458350.

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 453 x 206 x 675 = 19778750100

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

453 : 1, 3, 151, 453

206 : 1, 2, 103, 206

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,453,206,675, is 1.

Now, the common factors can be found like this.

314:2x 157

453:3x 151

206:2x 103

675:3x 3x 3x 5x 5

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 19778750100/(1x6)

LCM = 19778750100/6

LCM = 3296458350

Thus, we can understand that the LCM of 314,453,206,675 is 3296458350.

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

• LCM of 122, 435, 117, 566
• LCM of 911, 186, 195, 400
• LCM of 757, 566, 639, 930
• LCM of 673, 227, 573, 237
• LCM of 922, 496, 760, 460

1. What is the LCM of 314, 453, 206, 675?

Answer: LCM of 314, 453, 206, 675 is 3296458350.

2. How to calculate the LCM of 314, 453, 206, 675?

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, 453, 206, 675.

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}.