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LCM of 361, 350, 321, 218, 673

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


Find the LCM of 361, 350, 321, 218, 673 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 361, 350, 321, 218, 673. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,350,321,218,673

Given numbers are 361,350,321,218,673

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

The LCM of 361,350,321,218,673 is 2975238880950.

Find LCM of 361,350,321,218,673 with Prime Factorization


2 361, 350, 321, 218, 673
361, 175, 321, 109, 673

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

2 x 361 x 175 x 321 x 109 x 673 = 2975238880950

Therefore, the lowest common multiple of 361,350,321,218,673 is 2975238880950.

LCM Formula to Find Lowest Common Multiple of 361,350,321,218,673

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.

361 x 350 x 321 x 218 x 673 = 5950477761900

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.

361 : 1, 19, 361

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

321 : 1, 3, 107, 321

218 : 1, 2, 109, 218

673 : 1, 673

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,350,321,218,673, is 1.

Now, the common factors can be found like this.

361:19x 19

350:2x 5x 5x 7

321:3x 107

218:2x 109

673:673

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

2 = 2

Therefore, the value for common factors is 2.

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 = 5950477761900/(1x2)

LCM = 5950477761900/2

LCM = 2975238880950

Thus, we can understand that the LCM of 361,350,321,218,673 is 2975238880950.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 350, 321, 218, 673

1. What is the LCM of 361, 350, 321, 218, 673?

Answer: LCM of 361, 350, 321, 218, 673 is 2975238880950.

2. How to calculate the LCM of 361, 350, 321, 218, 673?

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 361, 350, 321, 218, 673.

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}.