Given numbers are 187,136,314,313

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

The LCM of 187,136,314,313 is 73514936.

Find LCM of 187,136,314,313 with Prime Factorization

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

2 x 17 x 11 x 4 x 157 x 313 = 73514936

Therefore, the lowest common multiple of 187,136,314,313 is 73514936.

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.

187 x 136 x 314 x 313 = 2499507824

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.

187 : 1, 11, 17, 187

136 : 1, 2, 4, 8, 17, 34, 68, 136

314 : 1, 2, 157, 314

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,136,314,313, is 1.

Now, the common factors can be found like this.

187:11x 17

136:2x 2x 2x 17

314:2x 157

313:313

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 2499507824/(1x34)

LCM = 2499507824/34

LCM = 73514936

Thus, we can understand that the LCM of 187,136,314,313 is 73514936.

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

• LCM of 145, 202, 706, 182
• LCM of 675, 451, 292, 111
• LCM of 836, 535, 674, 499
• LCM of 514, 227, 235, 101
• LCM of 976, 421, 693, 421

1. What is the LCM of 187, 136, 314, 313?

Answer: LCM of 187, 136, 314, 313 is 73514936.

2. How to calculate the LCM of 187, 136, 314, 313?

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 187, 136, 314, 313.

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}.