Given numbers are 210,311,122,374

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

The LCM of 210,311,122,374 is 744991170.

Find LCM of 210,311,122,374 with Prime Factorization

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

2 x 105 x 311 x 61 x 187 = 744991170

Therefore, the lowest common multiple of 210,311,122,374 is 744991170.

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.

210 x 311 x 122 x 374 = 2979964680

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.

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

311 : 1, 311

122 : 1, 2, 61, 122

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,311,122,374, is 1.

Now, the common factors can be found like this.

210:2x 3x 5x 7

311:311

122:2x 61

374:2x 11x 17

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 = 2979964680/(1x4)

LCM = 2979964680/4

LCM = 744991170

Thus, we can understand that the LCM of 210,311,122,374 is 744991170.

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

• LCM of 713, 152, 614, 471
• LCM of 889, 930, 141, 159
• LCM of 246, 276, 612, 570
• LCM of 151, 275, 693, 419
• LCM of 543, 212, 664, 837

1. What is the LCM of 210, 311, 122, 374?

Answer: LCM of 210, 311, 122, 374 is 744991170.

2. How to calculate the LCM of 210, 311, 122, 374?

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 210, 311, 122, 374.

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}.