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LCM of 669, 669, 645

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


Find the LCM of 669, 669, 645 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 669, 669, 645. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 669,669,645

Given numbers are 669,669,645

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

The LCM of 669,669,645 is 143835.

Find LCM of 669,669,645 with Prime Factorization


3 669, 669, 645
223 223, 223, 215
1, 1, 215

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

3 x 223 x 1 x 1 x 215 = 143835

Therefore, the lowest common multiple of 669,669,645 is 143835.

LCM Formula to Find Lowest Common Multiple of 669,669,645

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.

669 x 669 x 645 = 288676845

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.

669 : 1, 3, 223, 669

669 : 1, 3, 223, 669

645 : 1, 3, 5, 15, 43, 129, 215, 645

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,669,645, is 3.

Now, the common factors can be found like this.

669:3x 223

669:3x 223

645:3x 5x 43

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

3x 223 = 669

Therefore, the value for common factors is 669.

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 = 288676845/(3x669)

LCM = 288676845/2007

LCM = 143835

Thus, we can understand that the LCM of 669,669,645 is 143835.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 669, 669, 645

1. What is the LCM of 669, 669, 645?

Answer: LCM of 669, 669, 645 is 143835.

2. How to calculate the LCM of 669, 669, 645?

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 669, 669, 645.

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}.