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LCM of 446, 885, 447, 888, 670

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 446, 885, 447, 888, 670 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 446, 885, 447, 888, 670. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 446,885,447,888,670

Given numbers are 446,885,447,888,670

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

The LCM of 446,885,447,888,670 is 583177709640.

Find LCM of 446,885,447,888,670 with Prime Factorization


2 446, 885, 447, 888, 670
3 223, 885, 447, 444, 335
5 223, 295, 149, 148, 335
223, 59, 149, 148, 67

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

2 x 3 x 5 x 223 x 59 x 149 x 148 x 67 = 583177709640

Therefore, the lowest common multiple of 446,885,447,888,670 is 583177709640.

LCM Formula to Find Lowest Common Multiple of 446,885,447,888,670

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.

446 x 885 x 447 x 888 x 670 = 104971987735200

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.

446 : 1, 2, 223, 446

885 : 1, 3, 5, 15, 59, 177, 295, 885

447 : 1, 3, 149, 447

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

670 : 1, 2, 5, 10, 67, 134, 335, 670

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,885,447,888,670, is 1.

Now, the common factors can be found like this.

446:2x 223

885:3x 5x 59

447:3x 149

888:2x 2x 2x 3x 37

670:2x 5x 67

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

2x 2x 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 104971987735200/(1x180)

LCM = 104971987735200/180

LCM = 583177709640

Thus, we can understand that the LCM of 446,885,447,888,670 is 583177709640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 446, 885, 447, 888, 670

1. What is the LCM of 446, 885, 447, 888, 670?

Answer: LCM of 446, 885, 447, 888, 670 is 583177709640.

2. How to calculate the LCM of 446, 885, 447, 888, 670?

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 446, 885, 447, 888, 670.

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}.