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LCM of 654, 345, 845, 409

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


Find the LCM of 654, 345, 845, 409 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, 345, 845, 409. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 654,345,845,409

Given numbers are 654,345,845,409

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

The LCM of 654,345,845,409 is 5198590410.

Find LCM of 654,345,845,409 with Prime Factorization


3 654, 345, 845, 409
5 218, 115, 845, 409
218, 23, 169, 409

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

3 x 5 x 218 x 23 x 169 x 409 = 5198590410

Therefore, the lowest common multiple of 654,345,845,409 is 5198590410.

LCM Formula to Find Lowest Common Multiple of 654,345,845,409

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 345 x 845 x 409 = 77978856150

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

345 : 1, 3, 5, 15, 23, 69, 115, 345

845 : 1, 5, 13, 65, 169, 845

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,345,845,409, is 1.

Now, the common factors can be found like this.

654:2x 3x 109

345:3x 5x 23

845:5x 13x 13

409:409

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 77978856150/(1x15)

LCM = 77978856150/15

LCM = 5198590410

Thus, we can understand that the LCM of 654,345,845,409 is 5198590410.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 654, 345, 845, 409

1. What is the LCM of 654, 345, 845, 409?

Answer: LCM of 654, 345, 845, 409 is 5198590410.

2. How to calculate the LCM of 654, 345, 845, 409?

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, 345, 845, 409.

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}.