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LCM of 664, 305, 556, 171, 342

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


Find the LCM of 664, 305, 556, 171, 342 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 664, 305, 556, 171, 342. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 664,305,556,171,342

Given numbers are 664,305,556,171,342

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

The LCM of 664,305,556,171,342 is 4813697880.

Find LCM of 664,305,556,171,342 with Prime Factorization


2 664, 305, 556, 171, 342
2 332, 305, 278, 171, 171
3 166, 305, 139, 171, 171
3 166, 305, 139, 57, 57
19 166, 305, 139, 19, 19
166, 305, 139, 1, 1

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

2 x 2 x 3 x 3 x 19 x 166 x 305 x 139 x 1 x 1 = 4813697880

Therefore, the lowest common multiple of 664,305,556,171,342 is 4813697880.

LCM Formula to Find Lowest Common Multiple of 664,305,556,171,342

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.

664 x 305 x 556 x 171 x 342 = 6585138699840

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.

664 : 1, 2, 4, 8, 83, 166, 332, 664

305 : 1, 5, 61, 305

556 : 1, 2, 4, 139, 278, 556

171 : 1, 3, 9, 19, 57, 171

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 664,305,556,171,342, is 1.

Now, the common factors can be found like this.

664:2x 2x 2x 83

305:5x 61

556:2x 2x 139

171:3x 3x 19

342:2x 3x 3x 19

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

2x 2x 2x 3x 3x 19 = 1368

Therefore, the value for common factors is 1368.

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 = 6585138699840/(1x1368)

LCM = 6585138699840/1368

LCM = 4813697880

Thus, we can understand that the LCM of 664,305,556,171,342 is 4813697880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 664, 305, 556, 171, 342

1. What is the LCM of 664, 305, 556, 171, 342?

Answer: LCM of 664, 305, 556, 171, 342 is 4813697880.

2. How to calculate the LCM of 664, 305, 556, 171, 342?

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 664, 305, 556, 171, 342.

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}.