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LCM of 447, 345, 345, 982

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


Find the LCM of 447, 345, 345, 982 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 447, 345, 345, 982. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 447,345,345,982

Given numbers are 447,345,345,982

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

The LCM of 447,345,345,982 is 50479710.

Find LCM of 447,345,345,982 with Prime Factorization


3 447, 345, 345, 982
5 149, 115, 115, 982
23 149, 23, 23, 982
149, 1, 1, 982

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

3 x 5 x 23 x 149 x 1 x 1 x 982 = 50479710

Therefore, the lowest common multiple of 447,345,345,982 is 50479710.

LCM Formula to Find Lowest Common Multiple of 447,345,345,982

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.

447 x 345 x 345 x 982 = 52246499850

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.

447 : 1, 3, 149, 447

345 : 1, 3, 5, 15, 23, 69, 115, 345

345 : 1, 3, 5, 15, 23, 69, 115, 345

982 : 1, 2, 491, 982

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,345,345,982, is 1.

Now, the common factors can be found like this.

447:3x 149

345:3x 5x 23

345:3x 5x 23

982:2x 491

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

3x 3x 5x 23 = 1035

Therefore, the value for common factors is 1035.

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 = 52246499850/(1x1035)

LCM = 52246499850/1035

LCM = 50479710

Thus, we can understand that the LCM of 447,345,345,982 is 50479710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 447, 345, 345, 982

1. What is the LCM of 447, 345, 345, 982?

Answer: LCM of 447, 345, 345, 982 is 50479710.

2. How to calculate the LCM of 447, 345, 345, 982?

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 447, 345, 345, 982.

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}.