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LCM of 669, 418, 491, 645

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


Find the LCM of 669, 418, 491, 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, 418, 491, 645. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 669,418,491,645

Given numbers are 669,418,491,645

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

The LCM of 669,418,491,645 is 29520407730.

Find LCM of 669,418,491,645 with Prime Factorization


3 669, 418, 491, 645
223, 418, 491, 215

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

3 x 223 x 418 x 491 x 215 = 29520407730

Therefore, the lowest common multiple of 669,418,491,645 is 29520407730.

LCM Formula to Find Lowest Common Multiple of 669,418,491,645

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 418 x 491 x 645 = 88561223190

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

418 : 1, 2, 11, 19, 22, 38, 209, 418

491 : 1, 491

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,418,491,645, is 1.

Now, the common factors can be found like this.

669:3x 223

418:2x 11x 19

491:491

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.

3 = 3

Therefore, the value for common factors is 3.

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 = 88561223190/(1x3)

LCM = 88561223190/3

LCM = 29520407730

Thus, we can understand that the LCM of 669,418,491,645 is 29520407730.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 669, 418, 491, 645

1. What is the LCM of 669, 418, 491, 645?

Answer: LCM of 669, 418, 491, 645 is 29520407730.

2. How to calculate the LCM of 669, 418, 491, 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, 418, 491, 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}.