Given numbers are 249,886,120,538,614

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

The LCM of 249,886,120,538,614 is 364379319240.

Find LCM of 249,886,120,538,614 with Prime Factorization

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

2 x 3 x 83 x 443 x 20 x 269 x 307 = 364379319240

Therefore, the lowest common multiple of 249,886,120,538,614 is 364379319240.

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.

249 x 886 x 120 x 538 x 614 = 8745103661760

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.

249 : 1, 3, 83, 249

886 : 1, 2, 443, 886

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

538 : 1, 2, 269, 538

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,886,120,538,614, is 1.

Now, the common factors can be found like this.

249:3x 83

886:2x 443

120:2x 2x 2x 3x 5

538:2x 269

614:2x 307

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 8745103661760/(1x24)

LCM = 8745103661760/24

LCM = 364379319240

Thus, we can understand that the LCM of 249,886,120,538,614 is 364379319240.

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

• LCM of 388, 503, 367, 301, 834
• LCM of 562, 608, 364, 153, 959
• LCM of 229, 523, 425, 832, 549
• LCM of 407, 864, 920, 806, 708
• LCM of 335, 950, 424, 151, 300

1. What is the LCM of 249, 886, 120, 538, 614?

Answer: LCM of 249, 886, 120, 538, 614 is 364379319240.

2. How to calculate the LCM of 249, 886, 120, 538, 614?

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 249, 886, 120, 538, 614.

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}.