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LCM of 669, 809, 210, 669, 423

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


Find the LCM of 669, 809, 210, 669, 423 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, 809, 210, 669, 423. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 669,809,210,669,423

Given numbers are 669,809,210,669,423

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

The LCM of 669,809,210,669,423 is 5341851270.

Find LCM of 669,809,210,669,423 with Prime Factorization


3 669, 809, 210, 669, 423
223 223, 809, 70, 223, 141
1, 809, 70, 1, 141

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

3 x 223 x 1 x 809 x 70 x 1 x 141 = 5341851270

Therefore, the lowest common multiple of 669,809,210,669,423 is 5341851270.

LCM Formula to Find Lowest Common Multiple of 669,809,210,669,423

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 809 x 210 x 669 x 423 = 32163286496670

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

809 : 1, 809

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

669 : 1, 3, 223, 669

423 : 1, 3, 9, 47, 141, 423

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,809,210,669,423, is 1.

Now, the common factors can be found like this.

669:3x 223

809:809

210:2x 3x 5x 7

669:3x 223

423:3x 3x 47

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 3x 223 = 6021

Therefore, the value for common factors is 6021.

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 = 32163286496670/(1x6021)

LCM = 32163286496670/6021

LCM = 5341851270

Thus, we can understand that the LCM of 669,809,210,669,423 is 5341851270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 669, 809, 210, 669, 423

1. What is the LCM of 669, 809, 210, 669, 423?

Answer: LCM of 669, 809, 210, 669, 423 is 5341851270.

2. How to calculate the LCM of 669, 809, 210, 669, 423?

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, 809, 210, 669, 423.

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}.