Given numbers are 298,607,312,630

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

The LCM of 298,607,312,630 is 2962912680.

Find LCM of 298,607,312,630 with Prime Factorization

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

2 x 3 x 149 x 607 x 52 x 105 = 2962912680

Therefore, the lowest common multiple of 298,607,312,630 is 2962912680.

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.

298 x 607 x 312 x 630 = 35554952160

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.

298 : 1, 2, 149, 298

607 : 1, 607

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

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,607,312,630, is 1.

Now, the common factors can be found like this.

298:2x 149

607:607

312:2x 2x 2x 3x 13

630:2x 3x 3x 5x 7

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 35554952160/(1x12)

LCM = 35554952160/12

LCM = 2962912680

Thus, we can understand that the LCM of 298,607,312,630 is 2962912680.

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

• LCM of 988, 481, 148, 172
• LCM of 903, 908, 876, 332
• LCM of 728, 521, 990, 313
• LCM of 397, 611, 850, 570
• LCM of 530, 246, 147, 441

1. What is the LCM of 298, 607, 312, 630?

Answer: LCM of 298, 607, 312, 630 is 2962912680.

2. How to calculate the LCM of 298, 607, 312, 630?

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 298, 607, 312, 630.

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}.