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LCM of 646, 473, 627, 622

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


Find the LCM of 646, 473, 627, 622 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 646, 473, 627, 622. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 646,473,627,622

Given numbers are 646,473,627,622

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

The LCM of 646,473,627,622 is 285085614.

Find LCM of 646,473,627,622 with Prime Factorization


2 646, 473, 627, 622
11 323, 473, 627, 311
19 323, 43, 57, 311
17, 43, 3, 311

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

2 x 11 x 19 x 17 x 43 x 3 x 311 = 285085614

Therefore, the lowest common multiple of 646,473,627,622 is 285085614.

LCM Formula to Find Lowest Common Multiple of 646,473,627,622

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.

646 x 473 x 627 x 622 = 119165786652

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.

646 : 1, 2, 17, 19, 34, 38, 323, 646

473 : 1, 11, 43, 473

627 : 1, 3, 11, 19, 33, 57, 209, 627

622 : 1, 2, 311, 622

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,473,627,622, is 1.

Now, the common factors can be found like this.

646:2x 17x 19

473:11x 43

627:3x 11x 19

622:2x 311

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

2x 11x 19 = 418

Therefore, the value for common factors is 418.

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 = 119165786652/(1x418)

LCM = 119165786652/418

LCM = 285085614

Thus, we can understand that the LCM of 646,473,627,622 is 285085614.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 646, 473, 627, 622

1. What is the LCM of 646, 473, 627, 622?

Answer: LCM of 646, 473, 627, 622 is 285085614.

2. How to calculate the LCM of 646, 473, 627, 622?

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 646, 473, 627, 622.

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}.