Given numbers are 237,493,146,104,988

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

The LCM of 237,493,146,104,988 is 16854080568.

Find LCM of 237,493,146,104,988 with Prime Factorization

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

2 x 2 x 13 x 237 x 493 x 73 x 2 x 19 = 16854080568

Therefore, the lowest common multiple of 237,493,146,104,988 is 16854080568.

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.

237 x 493 x 146 x 104 x 988 = 1752824379072

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.

237 : 1, 3, 79, 237

493 : 1, 17, 29, 493

146 : 1, 2, 73, 146

104 : 1, 2, 4, 8, 13, 26, 52, 104

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,493,146,104,988, is 1.

Now, the common factors can be found like this.

237:3x 79

493:17x 29

146:2x 73

104:2x 2x 2x 13

988:2x 2x 13x 19

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 13 = 104

Therefore, the value for common factors is 104.

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 = 1752824379072/(1x104)

LCM = 1752824379072/104

LCM = 16854080568

Thus, we can understand that the LCM of 237,493,146,104,988 is 16854080568.

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

• LCM of 629, 411, 227, 503, 667
• LCM of 185, 256, 744, 589, 797
• LCM of 488, 399, 540, 759, 535
• LCM of 713, 330, 359, 574, 645
• LCM of 137, 774, 961, 860, 178

1. What is the LCM of 237, 493, 146, 104, 988?

Answer: LCM of 237, 493, 146, 104, 988 is 16854080568.

2. How to calculate the LCM of 237, 493, 146, 104, 988?

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 237, 493, 146, 104, 988.

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}.