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LCM of 669, 360, 440, 466

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


Find the LCM of 669, 360, 440, 466 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, 360, 440, 466. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 669,360,440,466

Given numbers are 669,360,440,466

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

The LCM of 669,360,440,466 is 205757640.

Find LCM of 669,360,440,466 with Prime Factorization


2 669, 360, 440, 466
2 669, 180, 220, 233
2 669, 90, 110, 233
3 669, 45, 55, 233
5 223, 15, 55, 233
223, 3, 11, 233

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

2 x 2 x 2 x 3 x 5 x 223 x 3 x 11 x 233 = 205757640

Therefore, the lowest common multiple of 669,360,440,466 is 205757640.

LCM Formula to Find Lowest Common Multiple of 669,360,440,466

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 360 x 440 x 466 = 49381833600

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

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,360,440,466, is 1.

Now, the common factors can be found like this.

669:3x 223

360:2x 2x 2x 3x 3x 5

440:2x 2x 2x 5x 11

466:2x 233

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 2x 2x 3x 5 = 240

Therefore, the value for common factors is 240.

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 = 49381833600/(1x240)

LCM = 49381833600/240

LCM = 205757640

Thus, we can understand that the LCM of 669,360,440,466 is 205757640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 669, 360, 440, 466

1. What is the LCM of 669, 360, 440, 466?

Answer: LCM of 669, 360, 440, 466 is 205757640.

2. How to calculate the LCM of 669, 360, 440, 466?

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, 360, 440, 466.

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}.