Given numbers are 314,275,624

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

The LCM of 314,275,624 is 26941200.

Find LCM of 314,275,624 with Prime Factorization

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

2 x 157 x 275 x 312 = 26941200

Therefore, the lowest common multiple of 314,275,624 is 26941200.

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 275 x 624 = 53882400

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

275 : 1, 5, 11, 25, 55, 275

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,275,624, is 1.

Now, the common factors can be found like this.

314:2x 157

275:5x 5x 11

624:2x 2x 2x 2x 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.

2 = 2

Therefore, the value for common factors is 2.

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 = 53882400/(1x2)

LCM = 53882400/2

LCM = 26941200

Thus, we can understand that the LCM of 314,275,624 is 26941200.

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

• LCM of 410, 546, 118
• LCM of 686, 697, 536
• LCM of 482, 102, 303
• LCM of 161, 901, 296
• LCM of 530, 572, 395

1. What is the LCM of 314, 275, 624?

Answer: LCM of 314, 275, 624 is 26941200.

2. How to calculate the LCM of 314, 275, 624?

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, 275, 624.

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}.