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LCM of 193, 234, 338, 565

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


Find the LCM of 193, 234, 338, 565 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 193, 234, 338, 565. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 193,234,338,565

Given numbers are 193,234,338,565

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

The LCM of 193,234,338,565 is 331714890.

Find LCM of 193,234,338,565 with Prime Factorization


2 193, 234, 338, 565
13 193, 117, 169, 565
193, 9, 13, 565

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

2 x 13 x 193 x 9 x 13 x 565 = 331714890

Therefore, the lowest common multiple of 193,234,338,565 is 331714890.

LCM Formula to Find Lowest Common Multiple of 193,234,338,565

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.

193 x 234 x 338 x 565 = 8624587140

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.

193 : 1, 193

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

338 : 1, 2, 13, 26, 169, 338

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,234,338,565, is 1.

Now, the common factors can be found like this.

193:193

234:2x 3x 3x 13

338:2x 13x 13

565:5x 113

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 8624587140/(1x26)

LCM = 8624587140/26

LCM = 331714890

Thus, we can understand that the LCM of 193,234,338,565 is 331714890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 193, 234, 338, 565

1. What is the LCM of 193, 234, 338, 565?

Answer: LCM of 193, 234, 338, 565 is 331714890.

2. How to calculate the LCM of 193, 234, 338, 565?

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 193, 234, 338, 565.

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}.