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LCM of 197, 423, 228, 608

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


Find the LCM of 197, 423, 228, 608 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 197, 423, 228, 608. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 197,423,228,608

Given numbers are 197,423,228,608

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

The LCM of 197,423,228,608 is 50665248.

Find LCM of 197,423,228,608 with Prime Factorization


2 197, 423, 228, 608
2 197, 423, 114, 304
3 197, 423, 57, 152
19 197, 141, 19, 152
197, 141, 1, 8

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

2 x 2 x 3 x 19 x 197 x 141 x 1 x 8 = 50665248

Therefore, the lowest common multiple of 197,423,228,608 is 50665248.

LCM Formula to Find Lowest Common Multiple of 197,423,228,608

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.

197 x 423 x 228 x 608 = 11551676544

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.

197 : 1, 197

423 : 1, 3, 9, 47, 141, 423

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,423,228,608, is 1.

Now, the common factors can be found like this.

197:197

423:3x 3x 47

228:2x 2x 3x 19

608:2x 2x 2x 2x 2x 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 3x 19 = 228

Therefore, the value for common factors is 228.

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 = 11551676544/(1x228)

LCM = 11551676544/228

LCM = 50665248

Thus, we can understand that the LCM of 197,423,228,608 is 50665248.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 197, 423, 228, 608

1. What is the LCM of 197, 423, 228, 608?

Answer: LCM of 197, 423, 228, 608 is 50665248.

2. How to calculate the LCM of 197, 423, 228, 608?

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 197, 423, 228, 608.

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}.