Given numbers are 872,210,914

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

The LCM of 872,210,914 is 41842920.

Find LCM of 872,210,914 with Prime Factorization

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

2 x 436 x 105 x 457 = 41842920

Therefore, the lowest common multiple of 872,210,914 is 41842920.

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.

872 x 210 x 914 = 167371680

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.

872 : 1, 2, 4, 8, 109, 218, 436, 872

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

914 : 1, 2, 457, 914

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,210,914, is 2.

Now, the common factors can be found like this.

872:2x 2x 2x 109

210:2x 3x 5x 7

914:2x 457

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

2 = 2

Therefore, the value for common factors is 2.

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 = 167371680/(2x2)

LCM = 167371680/4

LCM = 41842920

Thus, we can understand that the LCM of 872,210,914 is 41842920.

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

• LCM of 851, 854, 781
• LCM of 901, 330, 531
• LCM of 126, 302, 953
• LCM of 179, 987, 648
• LCM of 317, 475, 287

1. What is the LCM of 872, 210, 914?

Answer: LCM of 872, 210, 914 is 41842920.

2. How to calculate the LCM of 872, 210, 914?

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 872, 210, 914.

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}.