Given numbers are 226,106,314

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

The LCM of 226,106,314 is 1880546.

Find LCM of 226,106,314 with Prime Factorization

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

2 x 113 x 53 x 157 = 1880546

Therefore, the lowest common multiple of 226,106,314 is 1880546.

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.

226 x 106 x 314 = 7522184

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.

226 : 1, 2, 113, 226

106 : 1, 2, 53, 106

314 : 1, 2, 157, 314

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,106,314, is 2.

Now, the common factors can be found like this.

226:2x 113

106:2x 53

314:2x 157

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 = 7522184/(2x2)

LCM = 7522184/4

LCM = 1880546

Thus, we can understand that the LCM of 226,106,314 is 1880546.

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

• LCM of 851, 541, 450
• LCM of 848, 460, 487
• LCM of 582, 368, 368
• LCM of 497, 917, 192
• LCM of 869, 961, 550

1. What is the LCM of 226, 106, 314?

Answer: LCM of 226, 106, 314 is 1880546.

2. How to calculate the LCM of 226, 106, 314?

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 226, 106, 314.

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}.