Given numbers are 213,120,874

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

The LCM of 213,120,874 is 3723240.

Find LCM of 213,120,874 with Prime Factorization

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

2 x 3 x 71 x 20 x 437 = 3723240

Therefore, the lowest common multiple of 213,120,874 is 3723240.

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.

213 x 120 x 874 = 22339440

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.

213 : 1, 3, 71, 213

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,120,874, is 1.

Now, the common factors can be found like this.

213:3x 71

120:2x 2x 2x 3x 5

874:2x 19x 23

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 22339440/(1x6)

LCM = 22339440/6

LCM = 3723240

Thus, we can understand that the LCM of 213,120,874 is 3723240.

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

• LCM of 924, 866, 823
• LCM of 346, 588, 655
• LCM of 463, 327, 555
• LCM of 656, 753, 304
• LCM of 768, 421, 554

1. What is the LCM of 213, 120, 874?

Answer: LCM of 213, 120, 874 is 3723240.

2. How to calculate the LCM of 213, 120, 874?

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 213, 120, 874.

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}.