Given numbers are 107,133,214,675

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

The LCM of 107,133,214,675 is 19211850.

Find LCM of 107,133,214,675 with Prime Factorization

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

107 x 1 x 133 x 2 x 675 = 19211850

Therefore, the lowest common multiple of 107,133,214,675 is 19211850.

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.

107 x 133 x 214 x 675 = 2055667950

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.

107 : 1, 107

133 : 1, 7, 19, 133

214 : 1, 2, 107, 214

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,133,214,675, is 1.

Now, the common factors can be found like this.

107:107

133:7x 19

214:2x 107

675:3x 3x 3x 5x 5

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

107 = 107

Therefore, the value for common factors is 107.

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 = 2055667950/(1x107)

LCM = 2055667950/107

LCM = 19211850

Thus, we can understand that the LCM of 107,133,214,675 is 19211850.

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

• LCM of 643, 236, 361, 143
• LCM of 366, 407, 998, 528
• LCM of 524, 151, 182, 875
• LCM of 584, 710, 289, 226
• LCM of 705, 529, 478, 543

1. What is the LCM of 107, 133, 214, 675?

Answer: LCM of 107, 133, 214, 675 is 19211850.

2. How to calculate the LCM of 107, 133, 214, 675?

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 107, 133, 214, 675.

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}.