Given numbers are 314,589,266,370

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

The LCM of 314,589,266,370 is 239505070.

Find LCM of 314,589,266,370 with Prime Factorization

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

2 x 19 x 157 x 31 x 7 x 185 = 239505070

Therefore, the lowest common multiple of 314,589,266,370 is 239505070.

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 589 x 266 x 370 = 18202385320

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

589 : 1, 19, 31, 589

266 : 1, 2, 7, 14, 19, 38, 133, 266

370 : 1, 2, 5, 10, 37, 74, 185, 370

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,589,266,370, is 1.

Now, the common factors can be found like this.

314:2x 157

589:19x 31

266:2x 7x 19

370:2x 5x 37

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 19 = 76

Therefore, the value for common factors is 76.

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 = 18202385320/(1x76)

LCM = 18202385320/76

LCM = 239505070

Thus, we can understand that the LCM of 314,589,266,370 is 239505070.

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

• LCM of 409, 722, 672, 361
• LCM of 613, 296, 611, 948
• LCM of 592, 885, 741, 754
• LCM of 325, 754, 967, 586
• LCM of 121, 254, 642, 349

1. What is the LCM of 314, 589, 266, 370?

Answer: LCM of 314, 589, 266, 370 is 239505070.

2. How to calculate the LCM of 314, 589, 266, 370?

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, 589, 266, 370.

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}.