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LCM of 626, 669, 892, 409

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


Find the LCM of 626, 669, 892, 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 626, 669, 892, 409. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 626,669,892,409

Given numbers are 626,669,892,409

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

The LCM of 626,669,892,409 is 342573492.

Find LCM of 626,669,892,409 with Prime Factorization


2 626, 669, 892, 409
223 313, 669, 446, 409
313, 3, 2, 409

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

2 x 223 x 313 x 3 x 2 x 409 = 342573492

Therefore, the lowest common multiple of 626,669,892,409 is 342573492.

LCM Formula to Find Lowest Common Multiple of 626,669,892,409

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.

626 x 669 x 892 x 409 = 152787777432

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.

626 : 1, 2, 313, 626

669 : 1, 3, 223, 669

892 : 1, 2, 4, 223, 446, 892

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,669,892,409, is 1.

Now, the common factors can be found like this.

626:2x 313

669:3x 223

892:2x 2x 223

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.

2x 223 = 446

Therefore, the value for common factors is 446.

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 = 152787777432/(1x446)

LCM = 152787777432/446

LCM = 342573492

Thus, we can understand that the LCM of 626,669,892,409 is 342573492.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 626, 669, 892, 409

1. What is the LCM of 626, 669, 892, 409?

Answer: LCM of 626, 669, 892, 409 is 342573492.

2. How to calculate the LCM of 626, 669, 892, 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 626, 669, 892, 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}.