Given numbers are 105,218,279

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

The LCM of 105,218,279 is 2128770.

Find LCM of 105,218,279 with Prime Factorization

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

3 x 35 x 218 x 93 = 2128770

Therefore, the lowest common multiple of 105,218,279 is 2128770.

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.

105 x 218 x 279 = 6386310

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.

105 : 1, 3, 5, 7, 15, 21, 35, 105

218 : 1, 2, 109, 218

279 : 1, 3, 9, 31, 93, 279

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,218,279, is 1.

Now, the common factors can be found like this.

105:3x 5x 7

218:2x 109

279:3x 3x 31

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

3 = 3

Therefore, the value for common factors is 3.

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 = 6386310/(1x3)

LCM = 6386310/3

LCM = 2128770

Thus, we can understand that the LCM of 105,218,279 is 2128770.

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

• LCM of 942, 933, 458
• LCM of 878, 242, 540
• LCM of 744, 158, 605
• LCM of 338, 965, 276
• LCM of 540, 469, 666

1. What is the LCM of 105, 218, 279?

Answer: LCM of 105, 218, 279 is 2128770.

2. How to calculate the LCM of 105, 218, 279?

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 105, 218, 279.

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}.