Given numbers are 494,364,365,627,214

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

The LCM of 494,364,365,627,214 is 8913444540.

Find LCM of 494,364,365,627,214 with Prime Factorization

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

2 x 13 x 19 x 1 x 14 x 365 x 33 x 107 = 8913444540

Therefore, the lowest common multiple of 494,364,365,627,214 is 8913444540.

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.

494 x 364 x 365 x 627 x 214 = 8806483205520

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

365 : 1, 5, 73, 365

627 : 1, 3, 11, 19, 33, 57, 209, 627

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,364,365,627,214, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

364:2x 2x 7x 13

365:5x 73

627:3x 11x 19

214:2x 107

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 13x 19 = 988

Therefore, the value for common factors is 988.

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 = 8806483205520/(1x988)

LCM = 8806483205520/988

LCM = 8913444540

Thus, we can understand that the LCM of 494,364,365,627,214 is 8913444540.

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

• LCM of 383, 810, 839, 447, 404
• LCM of 972, 499, 736, 528, 706
• LCM of 144, 230, 640, 907, 816
• LCM of 108, 549, 115, 376, 403
• LCM of 288, 645, 222, 700, 513

1. What is the LCM of 494, 364, 365, 627, 214?

Answer: LCM of 494, 364, 365, 627, 214 is 8913444540.

2. How to calculate the LCM of 494, 364, 365, 627, 214?

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 494, 364, 365, 627, 214.

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}.