Given numbers are 137,122,134,314

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

The LCM of 137,122,134,314 is 175814566.

Find LCM of 137,122,134,314 with Prime Factorization

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

2 x 137 x 61 x 67 x 157 = 175814566

Therefore, the lowest common multiple of 137,122,134,314 is 175814566.

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.

137 x 122 x 134 x 314 = 703258264

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.

137 : 1, 137

122 : 1, 2, 61, 122

134 : 1, 2, 67, 134

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,122,134,314, is 1.

Now, the common factors can be found like this.

137:137

122:2x 61

134:2x 67

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 2 = 4

Therefore, the value for common factors is 4.

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 = 703258264/(1x4)

LCM = 703258264/4

LCM = 175814566

Thus, we can understand that the LCM of 137,122,134,314 is 175814566.

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

• LCM of 404, 967, 130, 196
• LCM of 431, 663, 929, 545
• LCM of 925, 814, 316, 216
• LCM of 601, 550, 677, 791
• LCM of 209, 874, 104, 555

1. What is the LCM of 137, 122, 134, 314?

Answer: LCM of 137, 122, 134, 314 is 175814566.

2. How to calculate the LCM of 137, 122, 134, 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 137, 122, 134, 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}.