Given numbers are 273,990,391,126,314

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

The LCM of 273,990,391,126,314 is 5530354830.

Find LCM of 273,990,391,126,314 with Prime Factorization

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

2 x 3 x 3 x 7 x 13 x 55 x 391 x 1 x 157 = 5530354830

Therefore, the lowest common multiple of 273,990,391,126,314 is 5530354830.

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.

273 x 990 x 391 x 126 x 314 = 4180948251480

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.

273 : 1, 3, 7, 13, 21, 39, 91, 273

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

391 : 1, 17, 23, 391

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,990,391,126,314, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

990:2x 3x 3x 5x 11

391:17x 23

126:2x 3x 3x 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 2x 3x 3x 3x 7 = 756

Therefore, the value for common factors is 756.

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 = 4180948251480/(1x756)

LCM = 4180948251480/756

LCM = 5530354830

Thus, we can understand that the LCM of 273,990,391,126,314 is 5530354830.

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

• LCM of 885, 445, 350, 773, 307
• LCM of 375, 656, 568, 238, 827
• LCM of 348, 723, 489, 815, 150
• LCM of 171, 673, 231, 764, 193
• LCM of 272, 783, 555, 731, 726

1. What is the LCM of 273, 990, 391, 126, 314?

Answer: LCM of 273, 990, 391, 126, 314 is 5530354830.

2. How to calculate the LCM of 273, 990, 391, 126, 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 273, 990, 391, 126, 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}.