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LCM of 654, 327, 352, 497, 669

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


Find the LCM of 654, 327, 352, 497, 669 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 654, 327, 352, 497, 669. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 654,327,352,497,669

Given numbers are 654,327,352,497,669

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

The LCM of 654,327,352,497,669 is 12757091424.

Find LCM of 654,327,352,497,669 with Prime Factorization


2 654, 327, 352, 497, 669
3 327, 327, 176, 497, 669
109 109, 109, 176, 497, 223
1, 1, 176, 497, 223

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

2 x 3 x 109 x 1 x 1 x 176 x 497 x 223 = 12757091424

Therefore, the lowest common multiple of 654,327,352,497,669 is 12757091424.

LCM Formula to Find Lowest Common Multiple of 654,327,352,497,669

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.

654 x 327 x 352 x 497 x 669 = 25029413373888

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

327 : 1, 3, 109, 327

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

497 : 1, 7, 71, 497

669 : 1, 3, 223, 669

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,327,352,497,669, is 1.

Now, the common factors can be found like this.

654:2x 3x 109

327:3x 109

352:2x 2x 2x 2x 2x 11

497:7x 71

669:3x 223

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

2x 3x 3x 109 = 1962

Therefore, the value for common factors is 1962.

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 = 25029413373888/(1x1962)

LCM = 25029413373888/1962

LCM = 12757091424

Thus, we can understand that the LCM of 654,327,352,497,669 is 12757091424.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 654, 327, 352, 497, 669

1. What is the LCM of 654, 327, 352, 497, 669?

Answer: LCM of 654, 327, 352, 497, 669 is 12757091424.

2. How to calculate the LCM of 654, 327, 352, 497, 669?

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 654, 327, 352, 497, 669.

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}.