Given numbers are 314,115,322,258

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

The LCM of 314,115,322,258 is 32607330.

Find LCM of 314,115,322,258 with Prime Factorization

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

2 x 23 x 157 x 5 x 7 x 129 = 32607330

Therefore, the lowest common multiple of 314,115,322,258 is 32607330.

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.

314 x 115 x 322 x 258 = 2999874360

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.

314 : 1, 2, 157, 314

115 : 1, 5, 23, 115

322 : 1, 2, 7, 14, 23, 46, 161, 322

258 : 1, 2, 3, 6, 43, 86, 129, 258

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,115,322,258, is 1.

Now, the common factors can be found like this.

314:2x 157

115:5x 23

322:2x 7x 23

258:2x 3x 43

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 23 = 92

Therefore, the value for common factors is 92.

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 = 2999874360/(1x92)

LCM = 2999874360/92

LCM = 32607330

Thus, we can understand that the LCM of 314,115,322,258 is 32607330.

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

• LCM of 330, 772, 509, 410
• LCM of 151, 378, 419, 936
• LCM of 178, 616, 672, 170
• LCM of 791, 649, 843, 123
• LCM of 904, 673, 960, 122

1. What is the LCM of 314, 115, 322, 258?

Answer: LCM of 314, 115, 322, 258 is 32607330.

2. How to calculate the LCM of 314, 115, 322, 258?

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 314, 115, 322, 258.

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}.